2256513045251 has 8 divisors (see below), whose sum is σ = 2384427655680. Its totient is φ = 2131082213832.

The previous prime is 2256513045233. The next prime is 2256513045349. The reversal of 2256513045251 is 1525403156522.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2256513045251 is a prime.

It is a super-2 number, since 2×2256513045251² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2256513045199 and 2256513045208.

It is not an unprimeable number, because it can be changed into a prime (2256513945251) 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, 620942885 + ... + 620946518.

It is an arithmetic number, because the mean of its divisors is an integer number (298053456960).

Almost surely, 2^{2256513045251} is an apocalyptic number.

2256513045251 is a deficient number, since it is larger than the sum of its proper divisors (127914610429).

2256513045251 is a wasteful number, since it uses less digits than its factorization.

2256513045251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241889505.

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 2256513045251 in words is "two trillion, two hundred fifty-six billion, five hundred thirteen million, forty-five thousand, two hundred fifty-one".