51331413315 has 256 divisors, whose sum is σ = 108771102720. Its totient is φ = 20089036800.

The previous prime is 51331413293. The next prime is 51331413323.

51331413315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51331413315 - 2⁸ = 51331413059 is a prime.

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, 147928972 + ... + 147929318.

It is an arithmetic number, because the mean of its divisors is an integer number (424887120).

Almost surely, 2^51331413315 is an apocalyptic number.

51331413315 is an abundant number, since it is smaller than the sum of its proper divisors (57439689405).

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

51331413315 is a wasteful number, since it uses less digits than its factorization.

51331413315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542.

The product of its digits is 8100, while the sum is 30.

The spelling of 51331413315 in words is "fifty-one billion, three hundred thirty-one million, four hundred thirteen thousand, three hundred fifteen".