257648567 has 24 divisors (see below), whose sum is σ = 292700016. Its totient is φ = 226512000.

The previous prime is 257648539. The next prime is 257648621. The reversal of 257648567 is 765846752.

It is not a de Polignac number, because 257648567 - 2²⁶ = 190539703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257641567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494267 + ... + 494787.

It is an arithmetic number, because the mean of its divisors is an integer number (12195834).

Almost surely, 2^257648567 is an apocalyptic number.

257648567 is a deficient number, since it is larger than the sum of its proper divisors (35051449).

257648567 is a wasteful number, since it uses less digits than its factorization.

257648567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

The square root of 257648567 is about 16051.4350448799. The cubic root of 257648567 is about 636.3204934740.

The spelling of 257648567 in words is "two hundred fifty-seven million, six hundred forty-eight thousand, five hundred sixty-seven".