82312583152 has 80 divisors (see below), whose sum is σ = 173080350720. Its totient is φ = 37778033664.

The previous prime is 82312583141. The next prime is 82312583167. The reversal of 82312583152 is 25138521328.

It is a super-2 number, since 2×82312583152² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017903 + ... + 2058289.

It is an arithmetic number, because the mean of its divisors is an integer number (2163504384).

Almost surely, 2^82312583152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82312583152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86540175360).

82312583152 is an abundant number, since it is smaller than the sum of its proper divisors (90767767568).

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

82312583152 is a wasteful number, since it uses less digits than its factorization.

82312583152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40598 (or 40592 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The spelling of 82312583152 in words is "eighty-two billion, three hundred twelve million, five hundred eighty-three thousand, one hundred fifty-two".