852106853 has 8 divisors (see below), whose sum is σ = 918447096. Its totient is φ = 785880000.

The previous prime is 852106847. The next prime is 852106873. The reversal of 852106853 is 358601258.

852106853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 286523329 + 565583524 = 16927^2 + 23782^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 852106853 - 2⁶ = 852106789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852106823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12398 + ... + 43103.

It is an arithmetic number, because the mean of its divisors is an integer number (114805887).

Almost surely, 2^852106853 is an apocalyptic number.

It is an amenable number.

852106853 is a deficient number, since it is larger than the sum of its proper divisors (66340243).

852106853 is a wasteful number, since it uses less digits than its factorization.

852106853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56695.

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 852106853 is about 29190.8693429983. The cubic root of 852106853 is about 948.0502404282.

The spelling of 852106853 in words is "eight hundred fifty-two million, one hundred six thousand, eight hundred fifty-three".