252802817 has 2 divisors, whose sum is σ = 252802818. Its totient is φ = 252802816.

The previous prime is 252802783. The next prime is 252802819. The reversal of 252802817 is 718208252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148742416 + 104060401 = 12196^2 + 10201^2 .

It is a cyclic number.

It is not a de Polignac number, because 252802817 - 2²⁶ = 185693953 is a prime.

Together with 252802819, 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 (252802819) 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, 126401408 + 126401409.

It is an arithmetic number, because the mean of its divisors is an integer number (126401409).

Almost surely, 2^252802817 is an apocalyptic number.

It is an amenable number.

252802817 is a deficient number, since it is larger than the sum of its proper divisors (1).

252802817 is an equidigital number, since it uses as much as digits as its factorization.

252802817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 252802817 is about 15899.7741178924. The cubic root of 252802817 is about 632.3060001713.

The spelling of 252802817 in words is "two hundred fifty-two million, eight hundred two thousand, eight hundred seventeen".