852185209 has 2 divisors, whose sum is σ = 852185210. Its totient is φ = 852185208.

The previous prime is 852185183. The next prime is 852185263. The reversal of 852185209 is 902581258.

852185209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 843612025 + 8573184 = 29045^2 + 2928^2 .

It is a cyclic number.

It is not a de Polignac number, because 852185209 - 2²⁹ = 315314297 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (852183209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426092604 + 426092605.

It is an arithmetic number, because the mean of its divisors is an integer number (426092605).

Almost surely, 2^852185209 is an apocalyptic number.

It is an amenable number.

852185209 is a deficient number, since it is larger than the sum of its proper divisors (1).

852185209 is an equidigital number, since it uses as much as digits as its factorization.

852185209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 852185209 is about 29192.2114441506. The cubic root of 852185209 is about 948.0792990482.

The spelling of 852185209 in words is "eight hundred fifty-two million, one hundred eighty-five thousand, two hundred nine".