8513361920 has 432 divisors, whose sum is σ = 25612161120. Its totient is φ = 2706407424.

The previous prime is 8513361869. The next prime is 8513361947. The reversal of 8513361920 is 291633158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 181135337 + ... + 181135383.

It is an arithmetic number, because the mean of its divisors is an integer number (59287410).

Almost surely, 2^8513361920 is an apocalyptic number.

8513361920 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 8513361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806080560).

8513361920 is an abundant number, since it is smaller than the sum of its proper divisors (17098799200).

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

8513361920 is a wasteful number, since it uses less digits than its factorization.

8513361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 8513361920 is about 92267.8813022170. The cubic root of 8513361920 is about 2041.8963783261.

The spelling of 8513361920 in words is "eight billion, five hundred thirteen million, three hundred sixty-one thousand, nine hundred twenty".