257561330 has 64 divisors (see below), whose sum is σ = 522547200. Its totient is φ = 90754560.

The previous prime is 257561309. The next prime is 257561347. The reversal of 257561330 is 33165752.

It is a super-2 number, since 2×257561330² = 132675677422737800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317966 + ... + 318774.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^257561330 is an apocalyptic number.

257561330 is an abundant number, since it is smaller than the sum of its proper divisors (264985870).

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

257561330 is a wasteful number, since it uses less digits than its factorization.

257561330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 257561330 is about 16048.7173942343. The cubic root of 257561330 is about 636.2486683030.

The spelling of 257561330 in words is "two hundred fifty-seven million, five hundred sixty-one thousand, three hundred thirty".