252005213017 has 2 divisors, whose sum is σ = 252005213018. Its totient is φ = 252005213016.

The previous prime is 252005212919. The next prime is 252005213059. The reversal of 252005213017 is 710312500252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219233714176 + 32771498841 = 468224^2 + 181029^2 .

It is a cyclic number.

It is not a de Polignac number, because 252005213017 - 2³⁵ = 217645474649 is a prime.

It is not a weakly prime, because it can be changed into another prime (252005213087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126002606508 + 126002606509.

It is an arithmetic number, because the mean of its divisors is an integer number (126002606509).

Almost surely, 2^252005213017 is an apocalyptic number.

It is an amenable number.

252005213017 is a deficient number, since it is larger than the sum of its proper divisors (1).

252005213017 is an equidigital number, since it uses as much as digits as its factorization.

252005213017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

Adding to 252005213017 its reverse (710312500252), we get a palindrome (962317713269).

The spelling of 252005213017 in words is "two hundred fifty-two billion, five million, two hundred thirteen thousand, seventeen".