257755752 has 48 divisors (see below), whose sum is σ = 699381540. Its totient is φ = 85759488.

The previous prime is 257755747. The next prime is 257755783. The reversal of 257755752 is 257557752.

257755752 is a `hidden beast` number, since 2 + 5 + 7 + 75 + 575 + 2 = 666.

257755752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 254913156 + 2842596 = 15966^2 + 1686^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 257755698 and 257755707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39678 + ... + 45714.

Almost surely, 2^257755752 is an apocalyptic number.

It is an amenable number.

257755752 is an abundant number, since it is smaller than the sum of its proper divisors (441625788).

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

257755752 is a wasteful number, since it uses less digits than its factorization.

257755752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6635 counting only the distinct ones).

The product of its digits is 857500, while the sum is 45.

The square root of 257755752 is about 16054.7734957551. The cubic root of 257755752 is about 636.4087203136.

The spelling of 257755752 in words is "two hundred fifty-seven million, seven hundred fifty-five thousand, seven hundred fifty-two".