51323400432315 has 48 divisors (see below), whose sum is σ = 97049675923200. Its totient is φ = 24883613586240.

The previous prime is 51323400432277. The next prime is 51323400432349.

51323400432315 is a `hidden beast` number, since 5 + 1 + 323 + 4 + 0 + 0 + 4 + 323 + 1 + 5 = 666.

51323400432315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51323400432315 - 2⁶ = 51323400432251 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51323400432315.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26691424 + ... + 28549586.

It is an arithmetic number, because the mean of its divisors is an integer number (2021868248400).

Almost surely, 2^{51323400432315} is an apocalyptic number.

51323400432315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51323400432315 is a deficient number, since it is larger than the sum of its proper divisors (45726275490885).

51323400432315 is a wasteful number, since it uses less digits than its factorization.

51323400432315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913984 (or 1913981 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 51323400 and 432315, that added together give a palindrome (51755715).

The spelling of 51323400432315 in words is "fifty-one trillion, three hundred twenty-three billion, four hundred million, four hundred thirty-two thousand, three hundred fifteen".