172971816015625 has 81 divisors (see below), whose sum is σ = 237781733236159. Its totient is φ = 125731925000000.

The previous prime is 172971816015599. The next prime is 172971816015637. The reversal of 172971816015625 is 526510618179271.

The square root of 172971816015625 is 13151875.

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 60914856211209 + 112056959804416 = 7804797^2 + 10585696^2 .

It is not a de Polignac number, because 172971816015625 - 2⁷ = 172971816015497 is a prime.

It is a super-3 number, since 3×172971816015625³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 90419139669 + ... + 90419141581.

Almost surely, 2^{172971816015625} is an apocalyptic number.

172971816015625 is the 13151875-th square number.

172971816015625 is the 6575938-th centered octagonal number.

It is an amenable number.

172971816015625 is a deficient number, since it is larger than the sum of its proper divisors (64809917220534).

172971816015625 is an frugal number, since it uses more digits than its factorization.

172971816015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 61.

The spelling of 172971816015625 in words is "one hundred seventy-two trillion, nine hundred seventy-one billion, eight hundred sixteen million, fifteen thousand, six hundred twenty-five".