9006044513130 has 80 divisors (see below), whose sum is σ = 27675717759360. Its totient is φ = 2058524458848.

The previous prime is 9006044513113. The next prime is 9006044513177. The reversal of 9006044513130 is 313154406009.

9006044513130 is a `hidden beast` number, since 9 + 0 + 0 + 6 + 0 + 4 + 4 + 513 + 130 = 666.

It is a super-2 number, since 2×9006044513130² (a number of 27 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 794178150 + ... + 794189489.

It is an arithmetic number, because the mean of its divisors is an integer number (345946471992).

Almost surely, 2^{9006044513130} is an apocalyptic number.

9006044513130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9006044513130 is an abundant number, since it is smaller than the sum of its proper divisors (18669673246230).

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

9006044513130 is a wasteful number, since it uses less digits than its factorization.

9006044513130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588367665 (or 1588367656 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 9006044513130 its reverse (313154406009), we get a palindrome (9319198919139).

The spelling of 9006044513130 in words is "nine trillion, six billion, forty-four million, five hundred thirteen thousand, one hundred thirty".