51311514410514 has 96 divisors (see below), whose sum is σ = 117136658995200. Its totient is φ = 16188356671200.

The previous prime is 51311514410503. The next prime is 51311514410537. The reversal of 51311514410514 is 41501441511315.

51311514410514 is a `hidden beast` number, since 5 + 1 + 3 + 115 + 14 + 4 + 10 + 514 = 666.

It is a super-2 number, since 2×51311514410514² (a number of 28 digits) contains 22 as substring.

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, 2124600339 + ... + 2124624489.

It is an arithmetic number, because the mean of its divisors is an integer number (1220173531200).

Almost surely, 2^{51311514410514} is an apocalyptic number.

51311514410514 is an abundant number, since it is smaller than the sum of its proper divisors (65825144584686).

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

51311514410514 is a wasteful number, since it uses less digits than its factorization.

51311514410514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29780 (or 29777 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 51311514410514 its reverse (41501441511315), we get a palindrome (92812955921829).

The spelling of 51311514410514 in words is "fifty-one trillion, three hundred eleven billion, five hundred fourteen million, four hundred ten thousand, five hundred fourteen".