2 × 52 × 193 × 587
1, 2, 5, 10, 25, 50, 193, 386, 587, 965, 1174, 1930, 2935, 4825, 5870, 9650, 14675, 29350, 113291, 226582, 566455, 1132910, 2832275 and 5664550
No.
Its nearest Fibonacci number neighbors are 3524578 and 5702887.