2 × 5 × 13 × 232
1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 529, 598, 1058, 1495, 2645, 2990, 5290, 6877, 13754, 34385 and 68770
No.
Its nearest Fibonacci number neighbors are 46368 and 75025.