8257213184 has 72 divisors (see below), whose sum is σ = 18074903952. Its totient is φ = 3733585920.

The previous prime is 8257213183. The next prime is 8257213207. The reversal of 8257213184 is 4813127528.

It is not an unprimeable number, because it can be changed into a prime (8257213183) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 535892 + ... + 551084.

Almost surely, 2^8257213184 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 8257213184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037451976).

8257213184 is an abundant number, since it is smaller than the sum of its proper divisors (9817690768).

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

8257213184 is a wasteful number, since it uses less digits than its factorization.

8257213184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15399 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 8257213184 is about 90869.2092185246. The cubic root of 8257213184 is about 2021.2087318544.

The spelling of 8257213184 in words is "eight billion, two hundred fifty-seven million, two hundred thirteen thousand, one hundred eighty-four".