7972138251 has 144 divisors (see below), whose sum is σ = 15381381600. Its totient is φ = 3928780800.

The previous prime is 7972138249. The next prime is 7972138283. The reversal of 7972138251 is 1528312797.

It is not a de Polignac number, because 7972138251 - 2¹ = 7972138249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7972138197 and 7972138206.

It is not an unprimeable number, because it can be changed into a prime (7972138211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8580955 + ... + 8581883.

It is an arithmetic number, because the mean of its divisors is an integer number (106815150).

Almost surely, 2^7972138251 is an apocalyptic number.

7972138251 is a deficient number, since it is larger than the sum of its proper divisors (7409243349).

7972138251 is a wasteful number, since it uses less digits than its factorization.

7972138251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1040 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 7972138251 is about 89286.8313414694. The cubic root of 7972138251 is about 1997.6754869496.

The spelling of 7972138251 in words is "seven billion, nine hundred seventy-two million, one hundred thirty-eight thousand, two hundred fifty-one".