257741201 has 2 divisors, whose sum is σ = 257741202. Its totient is φ = 257741200.

The previous prime is 257741191. The next prime is 257741203. The reversal of 257741201 is 102147752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207331201 + 50410000 = 14399^2 + 7100^2 .

It is a cyclic number.

It is not a de Polignac number, because 257741201 - 2¹⁰ = 257740177 is a prime.

It is a Sophie Germain prime.

Together with 257741203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257741203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128870600 + 128870601.

It is an arithmetic number, because the mean of its divisors is an integer number (128870601).

Almost surely, 2^257741201 is an apocalyptic number.

It is an amenable number.

257741201 is a deficient number, since it is larger than the sum of its proper divisors (1).

257741201 is an equidigital number, since it uses as much as digits as its factorization.

257741201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 257741201 is about 16054.3203219570. The cubic root of 257741201 is about 636.3967444314.

Adding to 257741201 its reverse (102147752), we get a palindrome (359888953).

The spelling of 257741201 in words is "two hundred fifty-seven million, seven hundred forty-one thousand, two hundred one".