2256085251 has 32 divisors (see below), whose sum is σ = 4020876800. Its totient is φ = 1221337440.

The previous prime is 2256085241. The next prime is 2256085253. The reversal of 2256085251 is 1525806522.

It is a happy number.

2256085251 is a `hidden beast` number, since 2 + 25 + 608 + 5 + 25 + 1 = 666.

It is not a de Polignac number, because 2256085251 - 2⁵ = 2256085219 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2256085253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310540 + ... + 317721.

It is an arithmetic number, because the mean of its divisors is an integer number (125652400).

Almost surely, 2^2256085251 is an apocalyptic number.

2256085251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2256085251 is a deficient number, since it is larger than the sum of its proper divisors (1764791549).

2256085251 is a wasteful number, since it uses less digits than its factorization.

2256085251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628296 (or 628290 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2256085251 is about 47498.2657683415. The cubic root of 2256085251 is about 1311.5509573601.

The spelling of 2256085251 in words is "two billion, two hundred fifty-six million, eighty-five thousand, two hundred fifty-one".