257628017 has 2 divisors, whose sum is σ = 257628018. Its totient is φ = 257628016.

The previous prime is 257627999. The next prime is 257628031. The reversal of 257628017 is 710826752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257153296 + 474721 = 16036^2 + 689^2 .

It is a cyclic number.

It is not a de Polignac number, because 257628017 - 2¹² = 257623921 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257628097) by changing a digit.

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 as a sum of consecutive naturals, namely, 128814008 + 128814009.

It is an arithmetic number, because the mean of its divisors is an integer number (128814009).

Almost surely, 2^257628017 is an apocalyptic number.

It is an amenable number.

257628017 is a deficient number, since it is larger than the sum of its proper divisors (1).

257628017 is an equidigital number, since it uses as much as digits as its factorization.

257628017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 257628017 is about 16050.7949024340. The cubic root of 257628017 is about 636.3035754243.

The spelling of 257628017 in words is "two hundred fifty-seven million, six hundred twenty-eight thousand, seventeen".