257200589 has 2 divisors, whose sum is σ = 257200590. Its totient is φ = 257200588.

The previous prime is 257200577. The next prime is 257200621. The reversal of 257200589 is 985002752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197262025 + 59938564 = 14045^2 + 7742^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257200589 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257200189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128600294 + 128600295.

It is an arithmetic number, because the mean of its divisors is an integer number (128600295).

Almost surely, 2^257200589 is an apocalyptic number.

It is an amenable number.

257200589 is a deficient number, since it is larger than the sum of its proper divisors (1).

257200589 is an equidigital number, since it uses as much as digits as its factorization.

257200589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 257200589 is about 16037.4745206345. The cubic root of 257200589 is about 635.9514857249.

The spelling of 257200589 in words is "two hundred fifty-seven million, two hundred thousand, five hundred eighty-nine".