257506201 has 2 divisors, whose sum is σ = 257506202. Its totient is φ = 257506200.

The previous prime is 257506187. The next prime is 257506211. The reversal of 257506201 is 102605752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150921225 + 106584976 = 12285^2 + 10324^2 .

It is a cyclic number.

It is not a de Polignac number, because 257506201 - 2¹¹ = 257504153 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257506201.

It is not a weakly prime, because it can be changed into another prime (257506211) 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, 128753100 + 128753101.

It is an arithmetic number, because the mean of its divisors is an integer number (128753101).

Almost surely, 2^257506201 is an apocalyptic number.

It is an amenable number.

257506201 is a deficient number, since it is larger than the sum of its proper divisors (1).

257506201 is an equidigital number, since it uses as much as digits as its factorization.

257506201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 257506201 is about 16046.9997507322. Note that the first 3 decimals coincide. The cubic root of 257506201 is about 636.2032703704.

The spelling of 257506201 in words is "two hundred fifty-seven million, five hundred six thousand, two hundred one".