257133306 has 16 divisors (see below), whose sum is σ = 517110048. Its totient is φ = 85237200.

The previous prime is 257133299. The next prime is 257133311. The reversal of 257133306 is 603331752.

It is a super-2 number, since 2×257133306² = 132235074108979272, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 117300 + ... + 119471.

It is an arithmetic number, because the mean of its divisors is an integer number (32319378).

Almost surely, 2^257133306 is an apocalyptic number.

257133306 is an abundant number, since it is smaller than the sum of its proper divisors (259976742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257133306 is a wasteful number, since it uses less digits than its factorization.

257133306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236957.

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 257133306 is about 16035.3767027781. The cubic root of 257133306 is about 635.8960264747.

The spelling of 257133306 in words is "two hundred fifty-seven million, one hundred thirty-three thousand, three hundred six".