251201 has 2 divisors, whose sum is σ = 251202. Its totient is φ = 251200.

The previous prime is 251197. The next prime is 251203. The reversal of 251201 is 102152.

251201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 39601 = 460^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 251201 - 2² = 251197 is a prime.

Together with 251203, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 251201.

It is not a weakly prime, because it can be changed into another prime (251203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125600 + 125601.

It is an arithmetic number, because the mean of its divisors is an integer number (125601).

2²⁵¹²⁰¹ is an apocalyptic number.

It is an amenable number.

251201 is a deficient number, since it is larger than the sum of its proper divisors (1).

251201 is an equidigital number, since it uses as much as digits as its factorization.

251201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 251201 is about 501.1995610533. The cubic root of 251201 is about 63.0967690644.

Adding to 251201 its reverse (102152), we get a palindrome (353353).

The spelling of 251201 in words is "two hundred fifty-one thousand, two hundred one".