257120010 has 48 divisors (see below), whose sum is σ = 764015616. Its totient is φ = 58770144.

The previous prime is 257119969. The next prime is 257120029. The reversal of 257120010 is 10021752.

It is a super-2 number, since 2×257120010² = 132221399084800200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203434 + ... + 204693.

It is an arithmetic number, because the mean of its divisors is an integer number (15916992).

Almost surely, 2^257120010 is an apocalyptic number.

257120010 is an abundant number, since it is smaller than the sum of its proper divisors (506895606).

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

257120010 is a wasteful number, since it uses less digits than its factorization.

257120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408147 (or 408144 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 257120010 is about 16034.9621140806. The cubic root of 257120010 is about 635.8850658574.

Adding to 257120010 its reverse (10021752), we get a palindrome (267141762).

The spelling of 257120010 in words is "two hundred fifty-seven million, one hundred twenty thousand, ten".