2 × 59
1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250, 15625, 31250, 78125, 156250, 390625, 781250, 1953125 and 3906250
No.
Its nearest Fibonacci number neighbors are 3524578 and 5702887.