251252033 has 2 divisors, whose sum is σ = 251252034. Its totient is φ = 251252032.

The previous prime is 251252011. The next prime is 251252041. The reversal of 251252033 is 330252152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204575809 + 46676224 = 14303^2 + 6832^2 .

It is a cyclic number.

It is not a de Polignac number, because 251252033 - 2¹⁸ = 250989889 is a prime.

It is not a weakly prime, because it can be changed into another prime (251252063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125626016 + 125626017.

It is an arithmetic number, because the mean of its divisors is an integer number (125626017).

Almost surely, 2^251252033 is an apocalyptic number.

It is an amenable number.

251252033 is a deficient number, since it is larger than the sum of its proper divisors (1).

251252033 is an equidigital number, since it uses as much as digits as its factorization.

251252033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 251252033 is about 15850.9316129999. The cubic root of 251252033 is about 631.0104160500.

It can be divided in two parts, 2512 and 52033, that added together give a palindrome (54545).

The spelling of 251252033 in words is "two hundred fifty-one million, two hundred fifty-two thousand, thirty-three".