2256312165251 has 8 divisors (see below), whose sum is σ = 2288280513024. Its totient is φ = 2224349076040.

The previous prime is 2256312165193. The next prime is 2256312165253. The reversal of 2256312165251 is 1525612136522.

2256312165251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2256312165251 - 2¹⁸ = 2256311903107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2256312165199 and 2256312165208.

It is not an unprimeable number, because it can be changed into a prime (2256312165253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446381 + ... + 2170686.

It is an arithmetic number, because the mean of its divisors is an integer number (286035064128).

Almost surely, 2^{2256312165251} is an apocalyptic number.

2256312165251 is a deficient number, since it is larger than the sum of its proper divisors (31968347773).

2256312165251 is a wasteful number, since it uses less digits than its factorization.

2256312165251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629281.

The product of its digits is 216000, while the sum is 41.

The spelling of 2256312165251 in words is "two trillion, two hundred fifty-six billion, three hundred twelve million, one hundred sixty-five thousand, two hundred fifty-one".