51514266552264 has 128 divisors (see below), whose sum is σ = 148536364032000. Its totient is φ = 16524669729600.

The previous prime is 51514266552209. The next prime is 51514266552283. The reversal of 51514266552264 is 46225566241515.

51514266552264 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 4 + 2 + 66 + 552 + 26 + 4 = 666.

51514266552264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 51514266552264.

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 31 ways as a sum of consecutive naturals, for example, 20291052 + ... + 22688219.

It is an arithmetic number, because the mean of its divisors is an integer number (1160440344000).

Almost surely, 2^{51514266552264} is an apocalyptic number.

51514266552264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51514266552264 is an abundant number, since it is smaller than the sum of its proper divisors (97022097479736).

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

51514266552264 is a wasteful number, since it uses less digits than its factorization.

51514266552264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42979496 (or 42979486 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 51514266552264 in words is "fifty-one trillion, five hundred fourteen billion, two hundred sixty-six million, five hundred fifty-two thousand, two hundred sixty-four".