25 × 31 × 521
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 521, 992, 1042, 2084, 4168, 8336, 16151, 16672, 32302, 64604, 129208, 258416 and 516832
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.