257110945 has 32 divisors (see below), whose sum is σ = 399732480. Its totient is φ = 154172160.

The previous prime is 257110937. The next prime is 257110957. The reversal of 257110945 is 549011752.

It is not a de Polignac number, because 257110945 - 2³ = 257110937 is a prime.

It is a super-2 number, since 2×257110945² = 132212076077586050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257110945.

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, 6226 + ... + 23515.

It is an arithmetic number, because the mean of its divisors is an integer number (12491640).

Almost surely, 2^257110945 is an apocalyptic number.

It is an amenable number.

257110945 is a deficient number, since it is larger than the sum of its proper divisors (142621535).

257110945 is a wasteful number, since it uses less digits than its factorization.

257110945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29785.

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 257110945 is about 16034.6794479965. The cubic root of 257110945 is about 635.8775928673.

The spelling of 257110945 in words is "two hundred fifty-seven million, one hundred ten thousand, nine hundred forty-five".