252508344329 has 2 divisors, whose sum is σ = 252508344330. Its totient is φ = 252508344328.

The previous prime is 252508344313. The next prime is 252508344331. The reversal of 252508344329 is 923443805252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214591297600 + 37917046729 = 463240^2 + 194723^2 .

It is a cyclic number.

It is not a de Polignac number, because 252508344329 - 2⁴ = 252508344313 is a prime.

Together with 252508344331, 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 (252508344029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126254172164 + 126254172165.

It is an arithmetic number, because the mean of its divisors is an integer number (126254172165).

Almost surely, 2^252508344329 is an apocalyptic number.

It is an amenable number.

252508344329 is a deficient number, since it is larger than the sum of its proper divisors (1).

252508344329 is an equidigital number, since it uses as much as digits as its factorization.

252508344329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 252508344329 in words is "two hundred fifty-two billion, five hundred eight million, three hundred forty-four thousand, three hundred twenty-nine".