252003641 has 2 divisors, whose sum is σ = 252003642. Its totient is φ = 252003640.

The previous prime is 252003629. The next prime is 252003643. The reversal of 252003641 is 146300252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163737616 + 88266025 = 12796^2 + 9395^2 .

It is a cyclic number.

It is not a de Polignac number, because 252003641 - 2¹⁰ = 252002617 is a prime.

Together with 252003643, 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 (252003643) 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, 126001820 + 126001821.

It is an arithmetic number, because the mean of its divisors is an integer number (126001821).

Almost surely, 2^252003641 is an apocalyptic number.

It is an amenable number.

252003641 is a deficient number, since it is larger than the sum of its proper divisors (1).

252003641 is an equidigital number, since it uses as much as digits as its factorization.

252003641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 252003641 is about 15874.6225466938. The cubic root of 252003641 is about 631.6390017967.

Adding to 252003641 its reverse (146300252), we get a palindrome (398303893).

The spelling of 252003641 in words is "two hundred fifty-two million, three thousand, six hundred forty-one".