9513085805 has 18 divisors (see below), whose sum is σ = 11649312234. Its totient is φ = 7457802144.

The previous prime is 9513085801. The next prime is 9513085817. The reversal of 9513085805 is 5085803159.

9513085805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2603652676 + 6909433129 = 51026^2 + 83123^2 .

It is not a de Polignac number, because 9513085805 - 2² = 9513085801 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9513085801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11558624 + ... + 11559446.

It is an arithmetic number, because the mean of its divisors is an integer number (647184013).

Almost surely, 2^9513085805 is an apocalyptic number.

It is an amenable number.

9513085805 is a deficient number, since it is larger than the sum of its proper divisors (2136226429).

9513085805 is an frugal number, since it uses more digits than its factorization.

9513085805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 44.

The square root of 9513085805 is about 97535.0491105633. The cubic root of 9513085805 is about 2118.8837874000.

The spelling of 9513085805 in words is "nine billion, five hundred thirteen million, eighty-five thousand, eight hundred five".