852561138 has 64 divisors (see below), whose sum is σ = 2018120832. Its totient is φ = 236705280.

The previous prime is 852561133. The next prime is 852561139. The reversal of 852561138 is 831165258.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 852561096 and 852561105.

It is not an unprimeable number, because it can be changed into a prime (852561133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113920 + ... + 121172.

It is an arithmetic number, because the mean of its divisors is an integer number (31533138).

Almost surely, 2^852561138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852561138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009060416).

852561138 is an abundant number, since it is smaller than the sum of its proper divisors (1165559694).

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

852561138 is a wasteful number, since it uses less digits than its factorization.

852561138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419.

The product of its digits is 57600, while the sum is 39.

The square root of 852561138 is about 29198.6495920616. The cubic root of 852561138 is about 948.2186889772.

The spelling of 852561138 in words is "eight hundred fifty-two million, five hundred sixty-one thousand, one hundred thirty-eight".