8513105920 has 416 divisors, whose sum is σ = 24458194944. Its totient is φ = 2811494400.

The previous prime is 8513105869. The next prime is 8513105921. The reversal of 8513105920 is 295013158.

It is not an unprimeable number, because it can be changed into a prime (8513105921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160624614 + ... + 160624666.

Almost surely, 2^8513105920 is an apocalyptic number.

8513105920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8513105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229097472).

8513105920 is an abundant number, since it is smaller than the sum of its proper divisors (15945089024).

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

8513105920 is a wasteful number, since it uses less digits than its factorization.

8513105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 8513105920 is about 92266.4940268134. The cubic root of 8513105920 is about 2041.8759112565.

The spelling of 8513105920 in words is "eight billion, five hundred thirteen million, one hundred five thousand, nine hundred twenty".