96507223268481 has 27 divisors (see below), whose sum is σ = 139673797983811. Its totient is φ = 64211716423824.

The previous prime is 96507223268479. The next prime is 96507223268483. The reversal of 96507223268481 is 18486232270569.

The square root of 96507223268481 is 9823809.

It is a perfect power (a square), and thus also a powerful number.

96507223268481 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 72 + 23 + 2 + 68 + 481 = 666.

It is an interprime number because it is at equal distance from previous prime (96507223268479) and next prime (96507223268483).

It can be written as a sum of positive squares in only one way, i.e., 8468711111025 + 88038512157456 = 2910105^2 + 9382884^2 .

It is not a de Polignac number, because 96507223268481 - 2¹ = 96507223268479 is a prime.

It is a super-2 number, since 2×96507223268481² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96507223268483) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16415581900 + ... + 16415587778.

It is a 1-persistent number, because it is pandigital, but 2⋅96507223268481 = 193014446536962 is not.

Almost surely, 2^{96507223268481} is an apocalyptic number.

96507223268481 is the 9823809-th square number.

96507223268481 is the 4911905-th centered octagonal number.

It is an amenable number.

96507223268481 is a deficient number, since it is larger than the sum of its proper divisors (43166574715330).

96507223268481 is an frugal number, since it uses more digits than its factorization.

96507223268481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12878 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 96507223268481 in words is "ninety-six trillion, five hundred seven billion, two hundred twenty-three million, two hundred sixty-eight thousand, four hundred eighty-one".