257513334 has 32 divisors (see below), whose sum is σ = 555254784. Its totient is φ = 79147680.

The previous prime is 257513309. The next prime is 257513339. The reversal of 257513334 is 433315752.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257513295 and 257513304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257513339) 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, 140347 + ... + 142169.

It is an arithmetic number, because the mean of its divisors is an integer number (17351712).

Almost surely, 2^257513334 is an apocalyptic number.

257513334 is an abundant number, since it is smaller than the sum of its proper divisors (297741450).

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

257513334 is a wasteful number, since it uses less digits than its factorization.

257513334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652.

The product of its digits is 37800, while the sum is 33.

The square root of 257513334 is about 16047.2220025773. Note that the first 3 decimals coincide. The cubic root of 257513334 is about 636.2091446575.

It can be divided in two parts, 257 and 513334, that added together give a triangular number (513591 = T₁₀₁₃).

The spelling of 257513334 in words is "two hundred fifty-seven million, five hundred thirteen thousand, three hundred thirty-four".