8513041264 has 240 divisors, whose sum is σ = 21334051200. Its totient is φ = 3260694528.

The previous prime is 8513041217. The next prime is 8513041283. The reversal of 8513041264 is 4621403158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78101242 + ... + 78101350.

It is an arithmetic number, because the mean of its divisors is an integer number (88891880).

Almost surely, 2^8513041264 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 8513041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667025600).

8513041264 is an abundant number, since it is smaller than the sum of its proper divisors (12821009936).

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

8513041264 is a wasteful number, since it uses less digits than its factorization.

8513041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 8513041264 is about 92266.1436497700. The cubic root of 8513041264 is about 2041.8707419773.

The spelling of 8513041264 in words is "eight billion, five hundred thirteen million, forty-one thousand, two hundred sixty-four".