5 × 11 × 13 × 71 × 911
1, 5, 11, 13, 55, 65, 71, 143, 355, 715, 781, 911, 923, 3905, 4555, 4615, 10021, 10153, 11843, 50105, 50765, 59215, 64681, 130273, 323405, 651365, 711491, 840853, 3557455, 4204265, 9249383 and 46246915
No.
Its nearest Fibonacci number neighbors are 39088169 and 63245986.