256081825 has 6 divisors (see below), whose sum is σ = 317541494. Its totient is φ = 204865440.

The previous prime is 256081801. The next prime is 256081831. The reversal of 256081825 is 528180652.

It can be written as a sum of positive squares in 3 ways, for example, as 39050001 + 217031824 = 6249^2 + 14732^2 .

It is not a de Polignac number, because 256081825 - 2¹⁷ = 255950753 is a prime.

It is a super-4 number, since 4×256081825⁴ (a number of 35 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5121612 + ... + 5121661.

Almost surely, 2^256081825 is an apocalyptic number.

256081825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256081825 is a deficient number, since it is larger than the sum of its proper divisors (61459669).

256081825 is a wasteful number, since it uses less digits than its factorization.

256081825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243283 (or 10243278 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 256081825 is about 16002.5568269574. The cubic root of 256081825 is about 635.0280641491.

The spelling of 256081825 in words is "two hundred fifty-six million, eighty-one thousand, eight hundred twenty-five".