5315216256 has 384 divisors, whose sum is σ = 18623404800. Its totient is φ = 1421328384.

The previous prime is 5315216233. The next prime is 5315216267. The reversal of 5315216256 is 6526125135.

5315216256 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 21 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5315216256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17313255 + ... + 17313561.

It is an arithmetic number, because the mean of its divisors is an integer number (48498450).

Almost surely, 2^5315216256 is an apocalyptic number.

5315216256 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 5315216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311702400).

5315216256 is an abundant number, since it is smaller than the sum of its proper divisors (13308188544).

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

5315216256 is a wasteful number, since it uses less digits than its factorization.

5315216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 5315216256 is about 72905.5296668229. The cubic root of 5315216256 is about 1745.1803445216.

The spelling of 5315216256 in words is "five billion, three hundred fifteen million, two hundred sixteen thousand, two hundred fifty-six".