257120556 has 48 divisors (see below), whose sum is σ = 747989760. Its totient is φ = 66784320.

The previous prime is 257120531. The next prime is 257120557. The reversal of 257120556 is 655021752.

It is a super-2 number, since 2×257120556² = 132221960635498272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (257120557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138211 + ... + 140058.

It is an arithmetic number, because the mean of its divisors is an integer number (15583120).

Almost surely, 2^257120556 is an apocalyptic number.

It is an amenable number.

257120556 is an abundant number, since it is smaller than the sum of its proper divisors (490869204).

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

257120556 is a wasteful number, since it uses less digits than its factorization.

257120556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278294 (or 278292 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 257120556 is about 16034.9791393690. The cubic root of 257120556 is about 635.8855159623.

The spelling of 257120556 in words is "two hundred fifty-seven million, one hundred twenty thousand, five hundred fifty-six".