257601753 has 12 divisors (see below), whose sum is σ = 391675440. Its totient is φ = 162695736.

The previous prime is 257601749. The next prime is 257601769. The reversal of 257601753 is 357106752.

It is not a de Polignac number, because 257601753 - 2² = 257601749 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (257601793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753051 + ... + 753392.

It is an arithmetic number, because the mean of its divisors is an integer number (32639620).

Almost surely, 2^257601753 is an apocalyptic number.

It is an amenable number.

257601753 is a deficient number, since it is larger than the sum of its proper divisors (134073687).

257601753 is a wasteful number, since it uses less digits than its factorization.

257601753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506468 (or 1506465 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 257601753 is about 16049.9767289551. The cubic root of 257601753 is about 636.2819519414.

The spelling of 257601753 in words is "two hundred fifty-seven million, six hundred one thousand, seven hundred fifty-three".