23 × 13 × 29 × 211
1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 211, 232, 377, 422, 754, 844, 1508, 1688, 2743, 3016, 5486, 6119, 10972, 12238, 21944, 24476, 48952, 79547, 159094, 318188 and 636376
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.