5 × 11 × 73 × 101 × 137
1, 5, 11, 55, 73, 101, 137, 365, 505, 685, 803, 1111, 1507, 4015, 5555, 7373, 7535, 10001, 13837, 36865, 50005, 69185, 81103, 110011, 152207, 405515, 550055, 761035, 1010101, 5050505, 11111111 and 55555555
No.
Its nearest Fibonacci number neighbors are 39088169 and 63245986.