972672592525 has 12 divisors (see below), whose sum is σ = 1247704154100. Its totient is φ = 751305726080.

The previous prime is 972672592511. The next prime is 972672592531. The reversal of 972672592525 is 525295276279.

It can be written as a sum of positive squares in 6 ways, for example, as 89548168516 + 883124424009 = 299246^2 + 939747^2 .

It is a de Polignac number, because none of the positive numbers 2^k-972672592525 is a prime.

It is a super-3 number, since 3×972672592525³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670807960 + ... + 670809409.

It is an arithmetic number, because the mean of its divisors is an integer number (103975346175).

Almost surely, 2^972672592525 is an apocalyptic number.

It is an amenable number.

972672592525 is a deficient number, since it is larger than the sum of its proper divisors (275031561575).

972672592525 is a wasteful number, since it uses less digits than its factorization.

972672592525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341617408 (or 1341617403 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 61.

The spelling of 972672592525 in words is "nine hundred seventy-two billion, six hundred seventy-two million, five hundred ninety-two thousand, five hundred twenty-five".