5257792512 has 264 divisors, whose sum is σ = 18117915120. Its totient is φ = 1501839360.

The previous prime is 5257792511. The next prime is 5257792513. The reversal of 5257792512 is 2152977525.

5257792512 is a `hidden beast` number, since 52 + 577 + 9 + 25 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5257792511) and next prime (5257792513).

It is not an unprimeable number, because it can be changed into a prime (5257792511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352812 + ... + 1356692.

Almost surely, 2^5257792512 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 5257792512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9058957560).

5257792512 is an abundant number, since it is smaller than the sum of its proper divisors (12860122608).

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

5257792512 is a wasteful number, since it uses less digits than its factorization.

5257792512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3893 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 5257792512 is about 72510.6372334432. The cubic root of 5257792512 is about 1738.8728014514.

The spelling of 5257792512 in words is "five billion, two hundred fifty-seven million, seven hundred ninety-two thousand, five hundred twelve".