852313056 has 288 divisors, whose sum is σ = 2750993280. Its totient is φ = 230114304.

The previous prime is 852313027. The next prime is 852313073. The reversal of 852313056 is 650313258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10268791 + ... + 10268873.

It is an arithmetic number, because the mean of its divisors is an integer number (9552060).

Almost surely, 2^852313056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375496640).

852313056 is an abundant number, since it is smaller than the sum of its proper divisors (1898680224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

852313056 is a wasteful number, since it uses less digits than its factorization.

852313056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 852313056 is about 29194.4011070616. The cubic root of 852313056 is about 948.1267077695.

The spelling of 852313056 in words is "eight hundred fifty-two million, three hundred thirteen thousand, fifty-six".