257424257 has 8 divisors (see below), whose sum is σ = 273170880. Its totient is φ = 242057200.

The previous prime is 257424241. The next prime is 257424259. The reversal of 257424257 is 752424752.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257424257 - 2⁴ = 257424241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257424257.

It is not an unprimeable number, because it can be changed into a prime (257424259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93494 + ... + 96207.

It is an arithmetic number, because the mean of its divisors is an integer number (34146360).

Almost surely, 2^257424257 is an apocalyptic number.

It is an amenable number.

257424257 is a deficient number, since it is larger than the sum of its proper divisors (15746623).

257424257 is a wasteful number, since it uses less digits than its factorization.

257424257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189783.

The product of its digits is 156800, while the sum is 38.

The square root of 257424257 is about 16044.4462977069. The cubic root of 257424257 is about 636.1357786990.

The spelling of 257424257 in words is "two hundred fifty-seven million, four hundred twenty-four thousand, two hundred fifty-seven".