172959716502225 has 27 divisors (see below), whose sum is σ = 309790423336849. Its totient is φ = 92245076923200.

The previous prime is 172959716502217. The next prime is 172959716502229. The reversal of 172959716502225 is 522205617959271.

The square root of 172959716502225 is 13151415.

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

172959716502225 is a `hidden beast` number, since 1 + 7 + 2 + 9 + 5 + 97 + 16 + 502 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29991493649601 + 142968222852624 = 5476449^2 + 11956932^2 .

It is not a de Polignac number, because 172959716502225 - 2³ = 172959716502217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172959716502229) 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, 196832845 + ... + 197709605.

Almost surely, 2^{172959716502225} is an apocalyptic number.

172959716502225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

172959716502225 is the 13151415-th square number.

172959716502225 is the 6575708-th centered octagonal number.

It is an amenable number.

172959716502225 is a deficient number, since it is larger than the sum of its proper divisors (136830706834624).

172959716502225 is an frugal number, since it uses more digits than its factorization.

172959716502225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753538 (or 876769 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 172959716502225 in words is "one hundred seventy-two trillion, nine hundred fifty-nine billion, seven hundred sixteen million, five hundred two thousand, two hundred twenty-five".