8509530816 has 140 divisors (see below), whose sum is σ = 25264331488. Its totient is φ = 2832081408.

The previous prime is 8509530797. The next prime is 8509530833. The reversal of 8509530816 is 6180359058.

It is a super-2 number, since 2×8509530816² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6411945 + ... + 6413271.

Almost surely, 2^8509530816 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 8509530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632165744).

8509530816 is an abundant number, since it is smaller than the sum of its proper divisors (16754800672).

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

8509530816 is a wasteful number, since it uses less digits than its factorization.

8509530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 8509530816 is about 92247.1181988901. The cubic root of 8509530816 is about 2041.5900406268.

The spelling of 8509530816 in words is "eight billion, five hundred nine million, five hundred thirty thousand, eight hundred sixteen".