251200133 has 2 divisors, whose sum is σ = 251200134. Its totient is φ = 251200132.

The previous prime is 251200087. The next prime is 251200151. The reversal of 251200133 is 331002152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208715809 + 42484324 = 14447^2 + 6518^2 .

It is a cyclic number.

It is not a de Polignac number, because 251200133 - 2⁸ = 251199877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251200333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125600066 + 125600067.

It is an arithmetic number, because the mean of its divisors is an integer number (125600067).

Almost surely, 2^251200133 is an apocalyptic number.

It is an amenable number.

251200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

251200133 is an equidigital number, since it uses as much as digits as its factorization.

251200133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 251200133 is about 15849.2944006981. The cubic root of 251200133 is about 630.9669647321.

Adding to 251200133 its reverse (331002152), we get a palindrome (582202285).

The spelling of 251200133 in words is "two hundred fifty-one million, two hundred thousand, one hundred thirty-three".