257233953 has 16 divisors (see below), whose sum is σ = 372971520. Its totient is φ = 157038336.

The previous prime is 257233937. The next prime is 257233957. The reversal of 257233953 is 359332752.

It is not a de Polignac number, because 257233953 - 2⁴ = 257233937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257233957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66273 + ... + 70046.

It is an arithmetic number, because the mean of its divisors is an integer number (23310720).

Almost surely, 2^257233953 is an apocalyptic number.

It is an amenable number.

257233953 is a deficient number, since it is larger than the sum of its proper divisors (115737567).

257233953 is a wasteful number, since it uses less digits than its factorization.

257233953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136376.

The product of its digits is 170100, while the sum is 39.

The square root of 257233953 is about 16038.5146756176. The cubic root of 257233953 is about 635.9789830284.

The spelling of 257233953 in words is "two hundred fifty-seven million, two hundred thirty-three thousand, nine hundred fifty-three".