257513256 has 320 divisors, whose sum is σ = 970865280. Its totient is φ = 61585920.

The previous prime is 257513239. The next prime is 257513261. The reversal of 257513256 is 652315752.

257513256 is a `hidden beast` number, since 2 + 575 + 1 + 32 + 56 = 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 257513256.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648450 + ... + 648846.

It is an arithmetic number, because the mean of its divisors is an integer number (3033954).

Almost surely, 2^257513256 is an apocalyptic number.

257513256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257513256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485432640).

257513256 is an abundant number, since it is smaller than the sum of its proper divisors (713352024).

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

257513256 is a wasteful number, since it uses less digits than its factorization.

257513256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 257513256 is about 16047.2195722499. The cubic root of 257513256 is about 636.2090804222.

The spelling of 257513256 in words is "two hundred fifty-seven million, five hundred thirteen thousand, two hundred fifty-six".