5256507168 has 432 divisors, whose sum is σ = 18352020960. Its totient is φ = 1417236480.

The previous prime is 5256507161. The next prime is 5256507227. The reversal of 5256507168 is 8617056525.

5256507168 is a `hidden beast` number, since 525 + 6 + 50 + 71 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256507161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11255671 + ... + 11256137.

It is an arithmetic number, because the mean of its divisors is an integer number (42481530).

Almost surely, 2^5256507168 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 5256507168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176010480).

5256507168 is an abundant number, since it is smaller than the sum of its proper divisors (13095513792).

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

5256507168 is a wasteful number, since it uses less digits than its factorization.

5256507168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5256507168 is about 72501.7735507208. The cubic root of 5256507168 is about 1738.7310923043.

The spelling of 5256507168 in words is "five billion, two hundred fifty-six million, five hundred seven thousand, one hundred sixty-eight".