172599660522961 has 81 divisors (see below), whose sum is σ = 215409132120819. Its totient is φ = 137866592575488.

The previous prime is 172599660522901. The next prime is 172599660522973. The reversal of 172599660522961 is 169225066995271.

It is a happy number.

The square root of 172599660522961 is 13137719.

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

It can be written as a sum of positive squares in 13 ways, for example, as 57206002806225 + 115393657716736 = 7563465^2 + 10742144^2 .

It is not a de Polignac number, because 172599660522961 - 2⁴⁷ = 31862172167633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (172599660522901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 176662906905 + ... + 176662907881.

Almost surely, 2^{172599660522961} is an apocalyptic number.

172599660522961 is the 13137719-th square number.

172599660522961 is the 6568860-th centered octagonal number.

It is an amenable number.

172599660522961 is a deficient number, since it is larger than the sum of its proper divisors (42809471597858).

172599660522961 is an frugal number, since it uses more digits than its factorization.

172599660522961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 70.

The spelling of 172599660522961 in words is "one hundred seventy-two trillion, five hundred ninety-nine billion, six hundred sixty million, five hundred twenty-two thousand, nine hundred sixty-one".