82252435232 has 90 divisors (see below), whose sum is σ = 178552962315. Its totient is φ = 37298240320.

The previous prime is 82252435219. The next prime is 82252435289. The reversal of 82252435232 is 23253425228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 41126217616 + 41126217616 = 202796^2 + 202796^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202796.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 196306319 + ... + 196306737.

Almost surely, 2^82252435232 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 82252435232

82252435232 is an abundant number, since it is smaller than the sum of its proper divisors (96300527083).

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

82252435232 is an frugal number, since it uses more digits than its factorization.

82252435232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 432 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The spelling of 82252435232 in words is "eighty-two billion, two hundred fifty-two million, four hundred thirty-five thousand, two hundred thirty-two".