51131582816 has 48 divisors (see below), whose sum is σ = 103156850160. Its totient is φ = 24933457920.

The previous prime is 51131582813. The next prime is 51131582837. The reversal of 51131582816 is 61828513115.

51131582816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51131582816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131582813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5268080 + ... + 5277776.

It is an arithmetic number, because the mean of its divisors is an integer number (2149101045).

Almost surely, 2^51131582816 is an apocalyptic number.

It is an amenable number.

51131582816 is an abundant number, since it is smaller than the sum of its proper divisors (52025267344).

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

51131582816 is a wasteful number, since it uses less digits than its factorization.

51131582816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13767 (or 13759 counting only the distinct ones).

The product of its digits is 57600, while the sum is 41.

The spelling of 51131582816 in words is "fifty-one billion, one hundred thirty-one million, five hundred eighty-two thousand, eight hundred sixteen".