diff --git a/packages/eslint-plugin/src/rules/class-literal-property-style.ts b/packages/eslint-plugin/src/rules/class-literal-property-style.ts
index 28d4a5cc78ba..9f02142f4d6e 100644
--- a/packages/eslint-plugin/src/rules/class-literal-property-style.ts
+++ b/packages/eslint-plugin/src/rules/class-literal-property-style.ts
@@ -4,7 +4,6 @@ import { AST_NODE_TYPES } from '@typescript-eslint/utils';
 import {
   createRule,
   getStaticMemberAccessValue,
-  getStaticStringValue,
   isAssignee,
   isFunction,
   isStaticMemberAccessOfValue,
@@ -25,7 +24,7 @@ interface NodeWithModifiers {
 
 interface PropertiesInfo {
   properties: TSESTree.PropertyDefinition[];
-  excludeSet: Set<string>;
+  excludeSet: Set<string | symbol>;
 }
 
 const printNodeModifiers = (
@@ -132,9 +131,7 @@ export default createRule<Options, MessageIds>({
         const { excludeSet } =
           propertiesInfoStack[propertiesInfoStack.length - 1];
 
-        const name =
-          getStaticStringValue(node.property) ??
-          context.sourceCode.getText(node.property);
+        const name = getStaticMemberAccessValue(node, context);
 
         if (name) {
           excludeSet.add(name);
diff --git a/packages/eslint-plugin/src/rules/class-methods-use-this.ts b/packages/eslint-plugin/src/rules/class-methods-use-this.ts
index 6e27a6229f12..4b369d7a51be 100644
--- a/packages/eslint-plugin/src/rules/class-methods-use-this.ts
+++ b/packages/eslint-plugin/src/rules/class-methods-use-this.ts
@@ -184,7 +184,9 @@ export default createRule<Options, MessageIds>({
         node.key.type === AST_NODE_TYPES.PrivateIdentifier ? '#' : '';
       const name = getStaticMemberAccessValue(node, context);
 
-      return !exceptMethods.has(hashIfNeeded + (name ?? ''));
+      return (
+        typeof name !== 'string' || !exceptMethods.has(hashIfNeeded + name)
+      );
     }
 
     /**
diff --git a/packages/eslint-plugin/src/util/isArrayMethodCallWithPredicate.ts b/packages/eslint-plugin/src/util/isArrayMethodCallWithPredicate.ts
index 746e9003722c..39e46d9dda39 100644
--- a/packages/eslint-plugin/src/util/isArrayMethodCallWithPredicate.ts
+++ b/packages/eslint-plugin/src/util/isArrayMethodCallWithPredicate.ts
@@ -9,7 +9,7 @@ import * as tsutils from 'ts-api-utils';
 
 import { getStaticMemberAccessValue } from './misc';
 
-const ARRAY_PREDICATE_FUNCTIONS = new Set([
+const ARRAY_PREDICATE_FUNCTIONS = new Set<unknown>([
   'filter',
   'find',
   'findIndex',
@@ -30,7 +30,7 @@ export function isArrayMethodCallWithPredicate(
 
   const staticAccessValue = getStaticMemberAccessValue(node.callee, context);
 
-  if (!staticAccessValue || !ARRAY_PREDICATE_FUNCTIONS.has(staticAccessValue)) {
+  if (!ARRAY_PREDICATE_FUNCTIONS.has(staticAccessValue)) {
     return false;
   }
 
diff --git a/packages/eslint-plugin/src/util/misc.ts b/packages/eslint-plugin/src/util/misc.ts
index aeed9f96d039..41933dc551c2 100644
--- a/packages/eslint-plugin/src/util/misc.ts
+++ b/packages/eslint-plugin/src/util/misc.ts
@@ -239,36 +239,85 @@ type NodeWithKey =
   | TSESTree.PropertyDefinition
   | TSESTree.TSAbstractMethodDefinition
   | TSESTree.TSAbstractPropertyDefinition;
+
+/**
+ * Gets a member being accessed or declared if its value can be determined statically, and
+ * resolves it to the string or symbol value that will be used as the actual member
+ * access key at runtime. Otherwise, returns `undefined`.
+ *
+ * ```ts
+ * x.member // returns 'member'
+ * ^^^^^^^^
+ *
+ * x?.member // returns 'member' (optional chaining is treated the same)
+ * ^^^^^^^^^
+ *
+ * x['value'] // returns 'value'
+ * ^^^^^^^^^^
+ *
+ * x[Math.random()] // returns undefined (not a static value)
+ * ^^^^^^^^^^^^^^^^
+ *
+ * arr[0] // returns '0' (NOT 0)
+ * ^^^^^^
+ *
+ * arr[0n] // returns '0' (NOT 0n)
+ * ^^^^^^^
+ *
+ * const s = Symbol.for('symbolName')
+ * x[s] // returns `Symbol.for('symbolName')` (since it's a static/global symbol)
+ * ^^^^
+ *
+ * const us = Symbol('symbolName')
+ * x[us] // returns undefined (since it's a unique symbol, so not statically analyzable)
+ * ^^^^^
+ *
+ * var object = {
+ *     1234: '4567', // returns '1234' (NOT 1234)
+ *     ^^^^^^^^^^^^
+ *     method() { } // returns 'method'
+ *     ^^^^^^^^^^^^
+ * }
+ *
+ * class WithMembers {
+ *     foo: string // returns 'foo'
+ *     ^^^^^^^^^^^
+ * }
+ * ```
+ */
 function getStaticMemberAccessValue(
   node: NodeWithKey,
   { sourceCode }: RuleContext<string, unknown[]>,
-): string | undefined {
+): string | symbol | undefined {
   const key =
     node.type === AST_NODE_TYPES.MemberExpression ? node.property : node.key;
-  if (!node.computed) {
-    return key.type === AST_NODE_TYPES.Literal
-      ? `${key.value}`
-      : (key as TSESTree.Identifier | TSESTree.PrivateIdentifier).name;
+  const { type } = key;
+  if (
+    !node.computed &&
+    (type === AST_NODE_TYPES.Identifier ||
+      type === AST_NODE_TYPES.PrivateIdentifier)
+  ) {
+    return key.name;
+  }
+  const result = getStaticValue(key, sourceCode.getScope(node));
+  if (!result) {
+    return undefined;
   }
-  const value = getStaticValue(key, sourceCode.getScope(node))?.value as
-    | string
-    | number
-    | null
-    | undefined;
-  return value == null ? undefined : `${value}`;
+  const { value } = result;
+  return typeof value === 'symbol' ? value : String(value);
 }
 
 /**
  * Answers whether the member expression looks like
- * `x.memberName`, `x['memberName']`,
- * or even `const mn = 'memberName'; x[mn]` (or optional variants thereof).
+ * `x.value`, `x['value']`,
+ * or even `const v = 'value'; x[v]` (or optional variants thereof).
  */
 const isStaticMemberAccessOfValue = (
   memberExpression: NodeWithKey,
   context: RuleContext<string, unknown[]>,
-  ...values: string[]
+  ...values: (string | symbol)[]
 ): boolean =>
-  (values as (string | undefined)[]).includes(
+  (values as (string | symbol | undefined)[]).includes(
     getStaticMemberAccessValue(memberExpression, context),
   );
 
diff --git a/packages/eslint-plugin/tests/rules/explicit-module-boundary-types.test.ts b/packages/eslint-plugin/tests/rules/explicit-module-boundary-types.test.ts
index eda213576ff8..3bff869ae8b1 100644
--- a/packages/eslint-plugin/tests/rules/explicit-module-boundary-types.test.ts
+++ b/packages/eslint-plugin/tests/rules/explicit-module-boundary-types.test.ts
@@ -407,6 +407,7 @@ export class Test {
   'method'() {}
   ['prop']() {}
   [\`prop\`]() {}
+  [null]() {}
   [\`\${v}\`](): void {}
 
   foo = () => {
@@ -416,7 +417,7 @@ export class Test {
       `,
       options: [
         {
-          allowedNames: ['prop', 'method', 'foo'],
+          allowedNames: ['prop', 'method', 'null', 'foo'],
         },
       ],
     },
diff --git a/packages/eslint-plugin/tests/rules/prefer-promise-reject-errors.test.ts b/packages/eslint-plugin/tests/rules/prefer-promise-reject-errors.test.ts
index d890886eff15..e78575881255 100644
--- a/packages/eslint-plugin/tests/rules/prefer-promise-reject-errors.test.ts
+++ b/packages/eslint-plugin/tests/rules/prefer-promise-reject-errors.test.ts
@@ -266,6 +266,15 @@ ruleTester.run('prefer-promise-reject-errors', rule, {
       declare const foo: PromiseConstructor;
       foo.reject(new Error());
     `,
+    'console[Symbol.iterator]();',
+    `
+      class A {
+        a = [];
+        [Symbol.iterator]() {
+          return this.a[Symbol.iterator]();
+        }
+      }
+    `,
   ],
   invalid: [
     {

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