256351441 has 2 divisors, whose sum is σ = 256351442. Its totient is φ = 256351440.

The previous prime is 256351421. The next prime is 256351451. The reversal of 256351441 is 144153652.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227889216 + 28462225 = 15096^2 + 5335^2 .

It is a cyclic number.

It is not a de Polignac number, because 256351441 - 2⁵ = 256351409 is a prime.

It is a super-2 number, since 2×256351441² = 131432122605552962, which contains 22 as substring.

It is equal to p_14007595 and since 256351441 and 14007595 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (256351421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128175720 + 128175721.

It is an arithmetic number, because the mean of its divisors is an integer number (128175721).

Almost surely, 2^256351441 is an apocalyptic number.

It is an amenable number.

256351441 is a deficient number, since it is larger than the sum of its proper divisors (1).

256351441 is an equidigital number, since it uses as much as digits as its factorization.

256351441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14400, while the sum is 31.

The square root of 256351441 is about 16010.9787645853. The cubic root of 256351441 is about 635.2508492871.

The spelling of 256351441 in words is "two hundred fifty-six million, three hundred fifty-one thousand, four hundred forty-one".