256800617 has 2 divisors, whose sum is σ = 256800618. Its totient is φ = 256800616.

The previous prime is 256800571. The next prime is 256800647. The reversal of 256800617 is 716008652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256768576 + 32041 = 16024^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 256800617 - 2⁶ = 256800553 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (256800647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128400308 + 128400309.

It is an arithmetic number, because the mean of its divisors is an integer number (128400309).

Almost surely, 2^256800617 is an apocalyptic number.

It is an amenable number.

256800617 is a deficient number, since it is larger than the sum of its proper divisors (1).

256800617 is an equidigital number, since it uses as much as digits as its factorization.

256800617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 256800617 is about 16024.9997503900. Note that the first 3 decimals coincide. The cubic root of 256800617 is about 635.6216591673.

The spelling of 256800617 in words is "two hundred fifty-six million, eight hundred thousand, six hundred seventeen".