852531135258 has 128 divisors (see below), whose sum is σ = 1940724910080. Its totient is φ = 247393440000.

The previous prime is 852531135251. The next prime is 852531135259.

852531135258 is nontrivially palindromic in base 10.

852531135258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (852531135251) 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, 40182273 + ... + 40203483.

It is an arithmetic number, because the mean of its divisors is an integer number (15161913360).

Almost surely, 2^852531135258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852531135258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970362455040).

852531135258 is an abundant number, since it is smaller than the sum of its proper divisors (1088193774822).

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

852531135258 is a wasteful number, since it uses less digits than its factorization.

852531135258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21524.

The product of its digits is 1440000, while the sum is 48.

It can be divided in two parts, 852531 and 135258, that added together give a palindrome (987789).

The spelling of 852531135258 in words is "eight hundred fifty-two billion, five hundred thirty-one million, one hundred thirty-five thousand, two hundred fifty-eight".