5121978624 has 405 divisors, whose sum is σ = 18020088471. Its totient is φ = 1442810880.

The previous prime is 5121978607. The next prime is 5121978679. The reversal of 5121978624 is 4268791215.

The square root of 5121978624 is 71568.

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

5121978624 is a `hidden beast` number, since 5 + 1 + 2 + 19 + 7 + 8 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5121978624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72140509 + ... + 72140579.

Almost surely, 2^5121978624 is an apocalyptic number.

5121978624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5121978624 is the 71568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5121978624

5121978624 is an abundant number, since it is smaller than the sum of its proper divisors (12898109847).

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

5121978624 is an frugal number, since it uses more digits than its factorization.

5121978624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 83 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The cubic root of 5121978624 is about 1723.7697451078.

The spelling of 5121978624 in words is "five billion, one hundred twenty-one million, nine hundred seventy-eight thousand, six hundred twenty-four".