852875520 has 144 divisors (see below), whose sum is σ = 3113093760. Its totient is φ = 194936832.

The previous prime is 852875509. The next prime is 852875531. The reversal of 852875520 is 25578258.

It is an interprime number because it is at equal distance from previous prime (852875509) and next prime (852875531).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11016 + ... + 42744.

Almost surely, 2^852875520 is an apocalyptic number.

852875520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556546880).

852875520 is an abundant number, since it is smaller than the sum of its proper divisors (2260218240).

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

852875520 is a wasteful number, since it uses less digits than its factorization.

852875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31760 (or 31746 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 852875520 is about 29204.0325982560. The cubic root of 852875520 is about 948.3352265642.

It can be divided in two parts, 8528 and 75520, that added together give a palindrome (84048).

The spelling of 852875520 in words is "eight hundred fifty-two million, eight hundred seventy-five thousand, five hundred twenty".