8313259136 has 128 divisors (see below), whose sum is σ = 20434108800. Its totient is φ = 3280601088.

The previous prime is 8313259117. The next prime is 8313259193. The reversal of 8313259136 is 6319523138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8313259136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8313259093 and 8313259102.

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, 7209536 + ... + 7210688.

It is an arithmetic number, because the mean of its divisors is an integer number (159641475).

Almost surely, 2^8313259136 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 8313259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217054400).

8313259136 is an abundant number, since it is smaller than the sum of its proper divisors (12120849664).

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

8313259136 is a wasteful number, since it uses less digits than its factorization.

8313259136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1794 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 8313259136 is about 91177.0757153354. The cubic root of 8313259136 is about 2025.7714186162.

The spelling of 8313259136 in words is "eight billion, three hundred thirteen million, two hundred fifty-nine thousand, one hundred thirty-six".