257605136 has 20 divisors (see below), whose sum is σ = 500405100. Its totient is φ = 128468352.

The previous prime is 257605121. The next prime is 257605157. The reversal of 257605136 is 631506752.

It can be written as a sum of positive squares in 2 ways, for example, as 119683600 + 137921536 = 10940^2 + 11744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257605096 and 257605105.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14471 + ... + 26918.

It is an arithmetic number, because the mean of its divisors is an integer number (25020255).

Almost surely, 2^257605136 is an apocalyptic number.

It is an amenable number.

257605136 is a deficient number, since it is larger than the sum of its proper divisors (242799964).

257605136 is a wasteful number, since it uses less digits than its factorization.

257605136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41786 (or 41780 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 257605136 is about 16050.0821181700. The cubic root of 257605136 is about 636.2847372905.

The spelling of 257605136 in words is "two hundred fifty-seven million, six hundred five thousand, one hundred thirty-six".