257257233 has 6 divisors (see below), whose sum is σ = 371593794. Its totient is φ = 171504816.

The previous prime is 257257199. The next prime is 257257249. The reversal of 257257233 is 332752752.

257257233 is a `hidden beast` number, since 2 + 57 + 2 + 572 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136960209 + 120297024 = 11703^2 + 10968^2 .

It is not a de Polignac number, because 257257233 - 2⁹ = 257256721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257253233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14292060 + ... + 14292077.

It is an arithmetic number, because the mean of its divisors is an integer number (61932299).

Almost surely, 2^257257233 is an apocalyptic number.

It is an amenable number.

257257233 is a deficient number, since it is larger than the sum of its proper divisors (114336561).

257257233 is a wasteful number, since it uses less digits than its factorization.

257257233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28584143 (or 28584140 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 257257233 is about 16039.2404121891. The cubic root of 257257233 is about 635.9981680854.

The spelling of 257257233 in words is "two hundred fifty-seven million, two hundred fifty-seven thousand, two hundred thirty-three".