257193252 has 48 divisors (see below), whose sum is σ = 667699200. Its totient is φ = 85615200.

The previous prime is 257193247. The next prime is 257193281. The reversal of 257193252 is 252391752.

257193252 is a `hidden beast` number, since 2 + 571 + 9 + 32 + 52 = 666.

257193252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257193252² = 132296737748671008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123274 + ... + 125342.

It is an arithmetic number, because the mean of its divisors is an integer number (13910400).

Almost surely, 2^257193252 is an apocalyptic number.

It is an amenable number.

257193252 is an abundant number, since it is smaller than the sum of its proper divisors (410505948).

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

257193252 is a wasteful number, since it uses less digits than its factorization.

257193252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3225 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 257193252 is about 16037.2457735111. The cubic root of 257193252 is about 635.9454385376.

The spelling of 257193252 in words is "two hundred fifty-seven million, one hundred ninety-three thousand, two hundred fifty-two".