852321520 has 80 divisors (see below), whose sum is σ = 2125042560. Its totient is φ = 316772352.

The previous prime is 852321517. The next prime is 852321541. The reversal of 852321520 is 25123258.

852321520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×852321520² = 1452903946910220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103474 + ... + 111406.

It is an arithmetic number, because the mean of its divisors is an integer number (26563032).

Almost surely, 2^852321520 is an apocalyptic number.

852321520 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 852321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062521280).

852321520 is an abundant number, since it is smaller than the sum of its proper divisors (1272721040).

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

852321520 is a wasteful number, since it uses less digits than its factorization.

852321520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 852321520 is about 29194.5460660035. The cubic root of 852321520 is about 948.1298462556.

Adding to 852321520 its reverse (25123258), we get a palindrome (877444778).

The spelling of 852321520 in words is "eight hundred fifty-two million, three hundred twenty-one thousand, five hundred twenty".