51624838521 has 27 divisors (see below), whose sum is σ = 76055947149. Its totient is φ = 33743560032.

The previous prime is 51624838511. The next prime is 51624838567. The reversal of 51624838521 is 12583842615.

The square root of 51624838521 is 227211.

It is a perfect power (a square), and thus also a powerful number.

51624838521 is a `hidden beast` number, since 5 + 1 + 6 + 248 + 385 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4334247225 + 47290591296 = 65835^2 + 217464^2 .

It is not a de Polignac number, because 51624838521 - 2¹⁹ = 51624314233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51624838511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36125835 + ... + 36127263.

Almost surely, 2^51624838521 is an apocalyptic number.

51624838521 is the 227211-st square number.

51624838521 is the 113606-th centered octagonal number.

It is an amenable number.

51624838521 is a deficient number, since it is larger than the sum of its proper divisors (24431108628).

51624838521 is an frugal number, since it uses more digits than its factorization.

51624838521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 1485 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 51624838521 in words is "fifty-one billion, six hundred twenty-four million, eight hundred thirty-eight thousand, five hundred twenty-one".