2256311825 has 24 divisors (see below), whose sum is σ = 2969142552. Its totient is φ = 1695006720.

The previous prime is 2256311809. The next prime is 2256311857. The reversal of 2256311825 is 5281136522.

It can be written as a sum of positive squares in 12 ways, for example, as 150970369 + 2105341456 = 12287^2 + 45884^2 .

It is not a de Polignac number, because 2256311825 - 2⁴ = 2256311809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188417 + ... + 200033.

It is an arithmetic number, because the mean of its divisors is an integer number (123714273).

Almost surely, 2^2256311825 is an apocalyptic number.

2256311825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2256311825 is a deficient number, since it is larger than the sum of its proper divisors (712830727).

2256311825 is a wasteful number, since it uses less digits than its factorization.

2256311825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12101 (or 12096 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 2256311825 is about 47500.6507850156. The cubic root of 2256311825 is about 1311.5948613452.

The spelling of 2256311825 in words is "two billion, two hundred fifty-six million, three hundred eleven thousand, eight hundred twenty-five".