852702552 has 256 divisors, whose sum is σ = 2711116800. Its totient is φ = 249422976.

The previous prime is 852702517. The next prime is 852702553. The reversal of 852702552 is 255207258.

852702552 is a `hidden beast` number, since 85 + 27 + 0 + 2 + 552 = 666.

852702552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852702553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5231223 + ... + 5231385.

It is an arithmetic number, because the mean of its divisors is an integer number (10590300).

Almost surely, 2^852702552 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 852702552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355558400).

852702552 is an abundant number, since it is smaller than the sum of its proper divisors (1858414248).

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

852702552 is a wasteful number, since it uses less digits than its factorization.

852702552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 852702552 is about 29201.0710762465. The cubic root of 852702552 is about 948.2711129729.

The spelling of 852702552 in words is "eight hundred fifty-two million, seven hundred two thousand, five hundred fifty-two".