79131457251 has 192 divisors, whose sum is σ = 159701068800. Its totient is φ = 38681556480.

The previous prime is 79131457247. The next prime is 79131457261. The reversal of 79131457251 is 15275413197.

79131457251 is a `hidden beast` number, since 7 + 9 + 13 + 14 + 572 + 51 = 666.

It is not a de Polignac number, because 79131457251 - 2² = 79131457247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 79131457197 and 79131457206.

It is not an unprimeable number, because it can be changed into a prime (79131457261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15583725 + ... + 15588801.

It is an arithmetic number, because the mean of its divisors is an integer number (831776400).

Almost surely, 2^79131457251 is an apocalyptic number.

79131457251 is an abundant number, since it is smaller than the sum of its proper divisors (80569611549).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79131457251 is a wasteful number, since it uses less digits than its factorization.

79131457251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5115 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The spelling of 79131457251 in words is "seventy-nine billion, one hundred thirty-one million, four hundred fifty-seven thousand, two hundred fifty-one".