172993605625 has 45 divisors (see below), whose sum is σ = 219564327081. Its totient is φ = 136257030000.

The previous prime is 172993605569. The next prime is 172993605671. The reversal of 172993605625 is 526506399271.

The square root of 172993605625 is 415925.

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

It can be written as a sum of positive squares in 2 ways, for example, as 13562698681 + 159430906944 = 116459^2 + 399288^2 .

It is not a de Polignac number, because 172993605625 - 2²⁹ = 172456734713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1320561810 + ... + 1320561940.

Almost surely, 2^172993605625 is an apocalyptic number.

172993605625 is the 415925-th square number.

172993605625 is the 207963-rd centered octagonal number.

It is an amenable number.

172993605625 is a deficient number, since it is larger than the sum of its proper divisors (46570721456).

172993605625 is an frugal number, since it uses more digits than its factorization.

172993605625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 55.

The spelling of 172993605625 in words is "one hundred seventy-two billion, nine hundred ninety-three million, six hundred five thousand, six hundred twenty-five".