257624661 has 32 divisors (see below), whose sum is σ = 409939200. Its totient is φ = 140797440.

The previous prime is 257624659. The next prime is 257624669. The reversal of 257624661 is 166426752.

It is not a de Polignac number, because 257624661 - 2¹ = 257624659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257624669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64441 + ... + 68321.

It is an arithmetic number, because the mean of its divisors is an integer number (12810600).

Almost surely, 2^257624661 is an apocalyptic number.

257624661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257624661 is a deficient number, since it is larger than the sum of its proper divisors (152314539).

257624661 is a wasteful number, since it uses less digits than its factorization.

257624661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029.

The product of its digits is 120960, while the sum is 39.

The square root of 257624661 is about 16050.6903589846. The cubic root of 257624661 is about 636.3008124690.

The spelling of 257624661 in words is "two hundred fifty-seven million, six hundred twenty-four thousand, six hundred sixty-one".