257879201 has 2 divisors, whose sum is σ = 257879202. Its totient is φ = 257879200.

The previous prime is 257879189. The next prime is 257879227. The reversal of 257879201 is 102978752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250398976 + 7480225 = 15824^2 + 2735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257879201 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257879261) 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, 128939600 + 128939601.

It is an arithmetic number, because the mean of its divisors is an integer number (128939601).

Almost surely, 2^257879201 is an apocalyptic number.

It is an amenable number.

257879201 is a deficient number, since it is larger than the sum of its proper divisors (1).

257879201 is an equidigital number, since it uses as much as digits as its factorization.

257879201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 257879201 is about 16058.6176553276. The cubic root of 257879201 is about 636.5103041844.

The spelling of 257879201 in words is "two hundred fifty-seven million, eight hundred seventy-nine thousand, two hundred one".