852641625 has 192 divisors, whose sum is σ = 1752791040. Its totient is φ = 365904000.

The previous prime is 852641611. The next prime is 852641659. The reversal of 852641625 is 526146258.

852641625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 852641625 - 2⁶ = 852641561 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19828854 + ... + 19828896.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2^852641625 is an apocalyptic number.

It is an amenable number.

852641625 is an abundant number, since it is smaller than the sum of its proper divisors (900149415).

852641625 is a wasteful number, since it uses less digits than its factorization.

852641625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 852641625 is about 29200.0278253292. The cubic root of 852641625 is about 948.2485272580.

The spelling of 852641625 in words is "eight hundred fifty-two million, six hundred forty-one thousand, six hundred twenty-five".