257901389 has 2 divisors, whose sum is σ = 257901390. Its totient is φ = 257901388.

The previous prime is 257901377. The next prime is 257901419. The reversal of 257901389 is 983109752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257859364 + 42025 = 16058^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 257901389 - 2²⁴ = 241124173 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 (257900389) 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, 128950694 + 128950695.

It is an arithmetic number, because the mean of its divisors is an integer number (128950695).

Almost surely, 2^257901389 is an apocalyptic number.

It is an amenable number.

257901389 is a deficient number, since it is larger than the sum of its proper divisors (1).

257901389 is an equidigital number, since it uses as much as digits as its factorization.

257901389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 257901389 is about 16059.3084844896. The cubic root of 257901389 is about 636.5285588369.

The spelling of 257901389 in words is "two hundred fifty-seven million, nine hundred one thousand, three hundred eighty-nine".