257027689 has 2 divisors, whose sum is σ = 257027690. Its totient is φ = 257027688.

The previous prime is 257027663. The next prime is 257027699. The reversal of 257027689 is 986720752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221027689 + 36000000 = 14867^2 + 6000^2 .

It is a cyclic number.

It is not a de Polignac number, because 257027689 - 2¹⁷ = 256896617 is a prime.

It is not a weakly prime, because it can be changed into another prime (257027629) 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, 128513844 + 128513845.

It is an arithmetic number, because the mean of its divisors is an integer number (128513845).

Almost surely, 2^257027689 is an apocalyptic number.

It is an amenable number.

257027689 is a deficient number, since it is larger than the sum of its proper divisors (1).

257027689 is an equidigital number, since it uses as much as digits as its factorization.

257027689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 257027689 is about 16032.0831148045. The cubic root of 257027689 is about 635.8089502038.

The spelling of 257027689 in words is "two hundred fifty-seven million, twenty-seven thousand, six hundred eighty-nine".