257623567 has 2 divisors, whose sum is σ = 257623568. Its totient is φ = 257623566.

The previous prime is 257623507. The next prime is 257623601. The reversal of 257623567 is 765326752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257623567 - 2¹⁵ = 257590799 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257623507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128811783 + 128811784.

It is an arithmetic number, because the mean of its divisors is an integer number (128811784).

Almost surely, 2^257623567 is an apocalyptic number.

257623567 is a deficient number, since it is larger than the sum of its proper divisors (1).

257623567 is an equidigital number, since it uses as much as digits as its factorization.

257623567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 529200, while the sum is 43.

The square root of 257623567 is about 16050.6562794174. The cubic root of 257623567 is about 636.2999117865.

The spelling of 257623567 in words is "two hundred fifty-seven million, six hundred twenty-three thousand, five hundred sixty-seven".