257833925 has 12 divisors (see below), whose sum is σ = 330739620. Its totient is φ = 199153920.

The previous prime is 257833909. The next prime is 257833943. The reversal of 257833925 is 529338752.

It can be written as a sum of positive squares in 6 ways, for example, as 28281124 + 229552801 = 5318^2 + 15151^2 .

It is not a de Polignac number, because 257833925 - 2⁴ = 257833909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177092 + ... + 178541.

It is an arithmetic number, because the mean of its divisors is an integer number (27561635).

Almost surely, 2^257833925 is an apocalyptic number.

257833925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257833925 is a deficient number, since it is larger than the sum of its proper divisors (72905695).

257833925 is a wasteful number, since it uses less digits than its factorization.

257833925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355672 (or 355667 counting only the distinct ones).

The product of its digits is 453600, while the sum is 44.

The square root of 257833925 is about 16057.2078830661. The cubic root of 257833925 is about 636.4730511771.

The spelling of 257833925 in words is "two hundred fifty-seven million, eight hundred thirty-three thousand, nine hundred twenty-five".