257874989 has 18 divisors (see below), whose sum is σ = 283975614. Its totient is φ = 234115840.

The previous prime is 257874983. The next prime is 257875031. The reversal of 257874989 is 989478752.

It can be written as a sum of positive squares in 9 ways, for example, as 15625 + 257859364 = 125^2 + 16058^2 .

It is a de Polignac number, because none of the positive numbers 2^k-257874989 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 (257874983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242519 + ... + 243579.

It is an arithmetic number, because the mean of its divisors is an integer number (15776423).

Almost surely, 2^257874989 is an apocalyptic number.

257874989 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

257874989 is a deficient number, since it is larger than the sum of its proper divisors (26100625).

257874989 is a wasteful number, since it uses less digits than its factorization.

257874989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1107 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 59.

The square root of 257874989 is about 16058.4865102537. The cubic root of 257874989 is about 636.5068387427.

The spelling of 257874989 in words is "two hundred fifty-seven million, eight hundred seventy-four thousand, nine hundred eighty-nine".