257374989 has 20 divisors (see below), whose sum is σ = 396880000. Its totient is φ = 166046760.

The previous prime is 257374981. The next prime is 257375003. The reversal of 257374989 is 989473752.

It is not a de Polignac number, because 257374989 - 2³ = 257374981 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257374981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48739 + ... + 53760.

It is an arithmetic number, because the mean of its divisors is an integer number (19844000).

Almost surely, 2^257374989 is an apocalyptic number.

It is an amenable number.

257374989 is a deficient number, since it is larger than the sum of its proper divisors (139505011).

257374989 is a wasteful number, since it uses less digits than its factorization.

257374989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102542 (or 102533 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 257374989 is about 16042.9108643039. The cubic root of 257374989 is about 636.0951931205.

The spelling of 257374989 in words is "two hundred fifty-seven million, three hundred seventy-four thousand, nine hundred eighty-nine".