257256057 has 16 divisors (see below), whose sum is σ = 353534720. Its totient is φ = 166298832.

The previous prime is 257256037. The next prime is 257256089. The reversal of 257256057 is 750652752.

It is not a de Polignac number, because 257256057 - 2¹¹ = 257254009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257256007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10758 + ... + 25104.

It is an arithmetic number, because the mean of its divisors is an integer number (22095920).

Almost surely, 2^257256057 is an apocalyptic number.

It is an amenable number.

257256057 is a deficient number, since it is larger than the sum of its proper divisors (96278663).

257256057 is a wasteful number, since it uses less digits than its factorization.

257256057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14532.

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 257256057 is about 16039.2037520570. The cubic root of 257256057 is about 635.9971989711.

The spelling of 257256057 in words is "two hundred fifty-seven million, two hundred fifty-six thousand, fifty-seven".