15313320009 has 81 divisors (see below), whose sum is σ = 25430836743. Its totient is φ = 8874144864.

The previous prime is 15313320007. The next prime is 15313320037. The reversal of 15313320009 is 90002331351.

It is a happy number.

The square root of 15313320009 is 123747.

It is a perfect power (a square), and thus also a powerful number.

15313320009 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 only one way, i.e., 2265284025 + 13048035984 = 47595^2 + 114228^2 .

It is not a de Polignac number, because 15313320009 - 2¹ = 15313320007 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (15313320007) 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 80 ways as a sum of consecutive naturals, for example, 91696444 + ... + 91696610.

Almost surely, 2^15313320009 is an apocalyptic number.

15313320009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

15313320009 is the 123747-th square number.

15313320009 is the 61874-th centered octagonal number.

It is an amenable number.

15313320009 is a deficient number, since it is larger than the sum of its proper divisors (10117516734).

15313320009 is a wasteful number, since it uses less digits than its factorization.

15313320009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 15313320009 in words is "fifteen billion, three hundred thirteen million, three hundred twenty thousand, nine".