257969752 has 16 divisors (see below), whose sum is σ = 483868440. Its totient is φ = 128938176.

The previous prime is 257969749. The next prime is 257969773.

257969752 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 257969752.

It is a congruent number.

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, 32268 + ... + 39460.

Almost surely, 2^257969752 is an apocalyptic number.

It is an amenable number.

257969752 is a deficient number, since it is larger than the sum of its proper divisors (225898688).

257969752 is a wasteful number, since it uses less digits than its factorization.

257969752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11682 (or 11678 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 52.

The square root of 257969752 is about 16061.4367974973. The cubic root of 257969752 is about 636.5847962974.

The spelling of 257969752 in words is "two hundred fifty-seven million, nine hundred sixty-nine thousand, seven hundred fifty-two".