51314200241315 has 48 divisors (see below), whose sum is σ = 73062032097600. Its totient is φ = 34465909336320.

The previous prime is 51314200241279. The next prime is 51314200241347.

51314200241315 is nontrivially palindromic in base 10.

51314200241315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51314200241315 - 2²⁴ = 51314183464099 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63177320 + ... + 63984389.

It is an arithmetic number, because the mean of its divisors is an integer number (1522125668700).

Almost surely, 2^{51314200241315} is an apocalyptic number.

51314200241315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51314200241315 is a deficient number, since it is larger than the sum of its proper divisors (21747831856285).

51314200241315 is a wasteful number, since it uses less digits than its factorization.

51314200241315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127161788 (or 127161777 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

It can be divided in two parts, 51314200 and 241315, that added together give a palindrome (51555515).

The spelling of 51314200241315 in words is "fifty-one trillion, three hundred fourteen billion, two hundred million, two hundred forty-one thousand, three hundred fifteen".