51479297415 has 256 divisors, whose sum is σ = 115289395200. Its totient is φ = 21218402304.

The previous prime is 51479297393. The next prime is 51479297453.

51479297415 is a `hidden beast` number, since 51 + 4 + 7 + 92 + 97 + 415 = 666.

51479297415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51479297415 - 2¹⁰ = 51479296391 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 122862076 + ... + 122862494.

It is an arithmetic number, because the mean of its divisors is an integer number (450349200).

Almost surely, 2^51479297415 is an apocalyptic number.

51479297415 is an abundant number, since it is smaller than the sum of its proper divisors (63810097785).

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

51479297415 is a wasteful number, since it uses less digits than its factorization.

51479297415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 51479297415 in words is "fifty-one billion, four hundred seventy-nine million, two hundred ninety-seven thousand, four hundred fifteen".