518816256 has 160 divisors (see below), whose sum is σ = 1603671168. Its totient is φ = 145981440.

The previous prime is 518816213. The next prime is 518816281. The reversal of 518816256 is 652618815.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 784566 + ... + 785226.

Almost surely, 2^518816256 is an apocalyptic number.

518816256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801835584).

518816256 is an abundant number, since it is smaller than the sum of its proper divisors (1084854912).

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

518816256 is an equidigital number, since it uses as much as digits as its factorization.

518816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 746 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 518816256 is about 22777.5384095824. The cubic root of 518816256 is about 803.5344945214.

The spelling of 518816256 in words is "five hundred eighteen million, eight hundred sixteen thousand, two hundred fifty-six".