257725023 has 16 divisors (see below), whose sum is σ = 348284160. Its totient is φ = 169502976.

The previous prime is 257725021. The next prime is 257725079. The reversal of 257725023 is 320527752.

It is not a de Polignac number, because 257725023 - 2¹ = 257725021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257725021) 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 15 ways as a sum of consecutive naturals, for example, 103236 + ... + 105702.

It is an arithmetic number, because the mean of its divisors is an integer number (21767760).

Almost surely, 2^257725023 is an apocalyptic number.

257725023 is a deficient number, since it is larger than the sum of its proper divisors (90559137).

257725023 is a wasteful number, since it uses less digits than its factorization.

257725023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926.

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 257725023 is about 16053.8164621376. The cubic root of 257725023 is about 636.3834289533.

The spelling of 257725023 in words is "two hundred fifty-seven million, seven hundred twenty-five thousand, twenty-three".