256800319 has 2 divisors, whose sum is σ = 256800320. Its totient is φ = 256800318.

The previous prime is 256800259. The next prime is 256800331. The reversal of 256800319 is 913008652.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 256800319 - 2¹⁵ = 256767551 is a prime.

It is a super-2 number, since 2×256800319² = 131892807677003522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256800389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128400159 + 128400160.

It is an arithmetic number, because the mean of its divisors is an integer number (128400160).

Almost surely, 2^256800319 is an apocalyptic number.

256800319 is a deficient number, since it is larger than the sum of its proper divisors (1).

256800319 is an equidigital number, since it uses as much as digits as its factorization.

256800319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 256800319 is about 16024.9904524153. The cubic root of 256800319 is about 635.6214133017.

The spelling of 256800319 in words is "two hundred fifty-six million, eight hundred thousand, three hundred nineteen".