257626623 has 16 divisors (see below), whose sum is σ = 347608800. Its totient is φ = 169706880.

The previous prime is 257626601. The next prime is 257626639. The reversal of 257626623 is 326626752.

It is a happy number.

It is not a de Polignac number, because 257626623 - 2⁶ = 257626559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257626723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149893 + ... + 151601.

It is an arithmetic number, because the mean of its divisors is an integer number (21725550).

Almost surely, 2^257626623 is an apocalyptic number.

257626623 is a deficient number, since it is larger than the sum of its proper divisors (89982177).

257626623 is a wasteful number, since it uses less digits than its factorization.

257626623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282.

The product of its digits is 181440, while the sum is 39.

The square root of 257626623 is about 16050.7514777346. The cubic root of 257626623 is about 636.3024277634.

It can be divided in two parts, 25762 and 6623, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 257626623 in words is "two hundred fifty-seven million, six hundred twenty-six thousand, six hundred twenty-three".