54 × 31 × 419
1, 5, 25, 31, 125, 155, 419, 625, 775, 2095, 3875, 10475, 12989, 19375, 52375, 64945, 261875, 324725, 1623625 and 8118125
No.
Its nearest Fibonacci number neighbors are 5702887 and 9227465.