257623641 has 36 divisors (see below), whose sum is σ = 430590160. Its totient is φ = 147906000.

The previous prime is 257623631. The next prime is 257623651. The reversal of 257623641 is 146326752.

257623641 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 2 + 3 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (257623631) and next prime (257623651).

It is not a de Polignac number, because 257623641 - 2⁹ = 257623129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257623596 and 257623605.

It is not an unprimeable number, because it can be changed into a prime (257623601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14466 + ... + 26916.

Almost surely, 2^257623641 is an apocalyptic number.

It is an amenable number.

257623641 is a deficient number, since it is larger than the sum of its proper divisors (172966519).

257623641 is a wasteful number, since it uses less digits than its factorization.

257623641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12498 (or 12484 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 257623641 is about 16050.6585846189. The cubic root of 257623641 is about 636.2999727103.

It can be divided in two parts, 25762 and 3641, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 257623641 in words is "two hundred fifty-seven million, six hundred twenty-three thousand, six hundred forty-one".