256516733627453 has 48 divisors (see below), whose sum is σ = 283625774899200. Its totient is φ = 231847071094080.

The previous prime is 256516733627417. The next prime is 256516733627467. The reversal of 256516733627453 is 354726337615652.

It is not a de Polignac number, because 256516733627453 - 2¹⁸ = 256516733365309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 256516733627453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256516733627953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876921008 + ... + 877213478.

It is an arithmetic number, because the mean of its divisors is an integer number (5908870310400).

Almost surely, 2^{256516733627453} is an apocalyptic number.

It is an amenable number.

256516733627453 is a deficient number, since it is larger than the sum of its proper divisors (27109041271747).

256516733627453 is a wasteful number, since it uses less digits than its factorization.

256516733627453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293122 (or 293109 counting only the distinct ones).

The product of its digits is 571536000, while the sum is 65.

The spelling of 256516733627453 in words is "two hundred fifty-six trillion, five hundred sixteen billion, seven hundred thirty-three million, six hundred twenty-seven thousand, four hundred fifty-three".