256123441 has 6 divisors (see below), whose sum is σ = 297939570. Its totient is φ = 219534336.

The previous prime is 256123429. The next prime is 256123453. The reversal of 256123441 is 144321652.

It is an interprime number because it is at equal distance from previous prime (256123429) and next prime (256123453).

It can be written as a sum of positive squares in only one way, i.e., 252937216 + 3186225 = 15904^2 + 1785^2 .

It is not a de Polignac number, because 256123441 - 2⁵ = 256123409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256123421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2613456 + ... + 2613553.

It is an arithmetic number, because the mean of its divisors is an integer number (49656595).

Almost surely, 2^256123441 is an apocalyptic number.

It is an amenable number.

256123441 is a deficient number, since it is larger than the sum of its proper divisors (41816129).

256123441 is an equidigital number, since it uses as much as digits as its factorization.

256123441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227023 (or 5227016 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 256123441 is about 16003.8570663450. The cubic root of 256123441 is about 635.0624618740.

The spelling of 256123441 in words is "two hundred fifty-six million, one hundred twenty-three thousand, four hundred forty-one".