252005729 has 2 divisors, whose sum is σ = 252005730. Its totient is φ = 252005728.

The previous prime is 252005717. The next prime is 252005753. The reversal of 252005729 is 927500252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250367329 + 1638400 = 15823^2 + 1280^2 .

It is a cyclic number.

It is not a de Polignac number, because 252005729 - 2⁸ = 252005473 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 252005695 and 252005704.

It is not a weakly prime, because it can be changed into another prime (252065729) 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, 126002864 + 126002865.

It is an arithmetic number, because the mean of its divisors is an integer number (126002865).

Almost surely, 2^252005729 is an apocalyptic number.

It is an amenable number.

252005729 is a deficient number, since it is larger than the sum of its proper divisors (1).

252005729 is an equidigital number, since it uses as much as digits as its factorization.

252005729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 252005729 is about 15874.6883119008. The cubic root of 252005729 is about 631.6407462934.

The spelling of 252005729 in words is "two hundred fifty-two million, five thousand, seven hundred twenty-nine".