256516317723 has 16 divisors (see below), whose sum is σ = 350053520256. Its totient is φ = 166996764480.

The previous prime is 256516317689. The next prime is 256516317731. The reversal of 256516317723 is 327713615652.

256516317723 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256516317723 - 2²² = 256512123419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256516317793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367903 + ... + 805223.

It is an arithmetic number, because the mean of its divisors is an integer number (21878345016).

Almost surely, 2^256516317723 is an apocalyptic number.

256516317723 is a deficient number, since it is larger than the sum of its proper divisors (93537202533).

256516317723 is a wasteful number, since it uses less digits than its factorization.

256516317723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441914.

The product of its digits is 1587600, while the sum is 48.

The spelling of 256516317723 in words is "two hundred fifty-six billion, five hundred sixteen million, three hundred seventeen thousand, seven hundred twenty-three".