257090752 has 28 divisors (see below), whose sum is σ = 521025120. Its totient is φ = 125808896.

The previous prime is 257090749. The next prime is 257090761.

257090752 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39727 + ... + 45742.

It is an arithmetic number, because the mean of its divisors is an integer number (18608040).

Almost surely, 2^257090752 is an apocalyptic number.

It is an amenable number.

257090752 is an abundant number, since it is smaller than the sum of its proper divisors (263934368).

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

257090752 is an equidigital number, since it uses as much as digits as its factorization.

257090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85528 (or 85518 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 257090752 is about 16034.0497691631. The cubic root of 257090752 is about 635.8609455630.

The spelling of 257090752 in words is "two hundred fifty-seven million, ninety thousand, seven hundred fifty-two".