852252575617 has 2 divisors, whose sum is σ = 852252575618. Its totient is φ = 852252575616.

The previous prime is 852252575593. The next prime is 852252575627. The reversal of 852252575617 is 716575252258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 839356474896 + 12896100721 = 916164^2 + 113561^2 .

It is a cyclic number.

It is not a de Polignac number, because 852252575617 - 2¹⁵ = 852252542849 is a prime.

It is not a weakly prime, because it can be changed into another prime (852252575627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426126287808 + 426126287809.

It is an arithmetic number, because the mean of its divisors is an integer number (426126287809).

Almost surely, 2^852252575617 is an apocalyptic number.

It is an amenable number.

852252575617 is a deficient number, since it is larger than the sum of its proper divisors (1).

852252575617 is an equidigital number, since it uses as much as digits as its factorization.

852252575617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11760000, while the sum is 55.

The spelling of 852252575617 in words is "eight hundred fifty-two billion, two hundred fifty-two million, five hundred seventy-five thousand, six hundred seventeen".