7972523125 has 40 divisors (see below), whose sum is σ = 11402600000. Its totient is φ = 5458752000.

The previous prime is 7972523113. The next prime is 7972523129. The reversal of 7972523125 is 5213252797.

7972523125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7972523125 - 2⁵ = 7972523093 is a prime.

It is a super-2 number, since 2×7972523125² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972523129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5463646 + ... + 5465104.

It is an arithmetic number, because the mean of its divisors is an integer number (285065000).

Almost surely, 2^7972523125 is an apocalyptic number.

It is an amenable number.

7972523125 is a deficient number, since it is larger than the sum of its proper divisors (3430076875).

7972523125 is a wasteful number, since it uses less digits than its factorization.

7972523125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2720 counting only the distinct ones).

The product of its digits is 264600, while the sum is 43.

The square root of 7972523125 is about 89288.9865828927. The cubic root of 7972523125 is about 1997.7076339495.

The spelling of 7972523125 in words is "seven billion, nine hundred seventy-two million, five hundred twenty-three thousand, one hundred twenty-five".