257205032313 has 16 divisors (see below), whose sum is σ = 347174103360. Its totient is φ = 169354209024.

The previous prime is 257205032269. The next prime is 257205032323. The reversal of 257205032313 is 313230502752.

It is a happy number.

It is not a de Polignac number, because 257205032313 - 2¹² = 257205028217 is a prime.

It is a super-4 number, since 4×257205032313⁴ (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (257205032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704373 + ... + 1005261.

It is an arithmetic number, because the mean of its divisors is an integer number (21698381460).

Almost surely, 2^257205032313 is an apocalyptic number.

It is an amenable number.

257205032313 is a deficient number, since it is larger than the sum of its proper divisors (89969071047).

257205032313 is a wasteful number, since it uses less digits than its factorization.

257205032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304408.

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

The spelling of 257205032313 in words is "two hundred fifty-seven billion, two hundred five million, thirty-two thousand, three hundred thirteen".