200013257 has 2 divisors, whose sum is σ = 200013258. Its totient is φ = 200013256.

The previous prime is 200013223. The next prime is 200013259. The reversal of 200013257 is 752310002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198838201 + 1175056 = 14101^2 + 1084^2 .

It is a cyclic number.

It is not a de Polignac number, because 200013257 - 2⁶ = 200013193 is a prime.

Together with 200013259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (200013259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100006628 + 100006629.

It is an arithmetic number, because the mean of its divisors is an integer number (100006629).

Almost surely, 2^200013257 is an apocalyptic number.

It is an amenable number.

200013257 is a deficient number, since it is larger than the sum of its proper divisors (1).

200013257 is an equidigital number, since it uses as much as digits as its factorization.

200013257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 200013257 is about 14142.6043216941. The cubic root of 200013257 is about 584.8164685915.

Adding to 200013257 its reverse (752310002), we get a palindrome (952323259).

The spelling of 200013257 in words is "two hundred million, thirteen thousand, two hundred fifty-seven".