5210564256 has 216 divisors, whose sum is σ = 16325880480. Its totient is φ = 1573178112.

The previous prime is 5210564251. The next prime is 5210564263. The reversal of 5210564256 is 6524650125.

5210564256 is a `hidden beast` number, since 5 + 2 + 1 + 0 + 5 + 642 + 5 + 6 = 666.

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 5210564256.

It is not an unprimeable number, because it can be changed into a prime (5210564251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2390175 + ... + 2392353.

It is an arithmetic number, because the mean of its divisors is an integer number (75582780).

Almost surely, 2^5210564256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5210564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162940240).

5210564256 is an abundant number, since it is smaller than the sum of its proper divisors (11115316224).

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

5210564256 is a wasteful number, since it uses less digits than its factorization.

5210564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5210564256 is about 72184.2382795580. The cubic root of 5210564256 is about 1733.6506442094.

The spelling of 5210564256 in words is "five billion, two hundred ten million, five hundred sixty-four thousand, two hundred fifty-six".