15251509009 has 27 divisors (see below), whose sum is σ = 17085124539. Its totient is φ = 13604429520.

The previous prime is 15251508997. The next prime is 15251509033. The reversal of 15251509009 is 90090515251.

The square root of 15251509009 is 123497.

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

15251509009 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., 10630228609 + 4621280400 = 103103^2 + 67980^2 .

It is not a de Polignac number, because 15251509009 - 2⁹ = 15251508497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15251509069) 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 26 ways as a sum of consecutive naturals, for example, 139922047 + ... + 139922155.

Almost surely, 2^15251509009 is an apocalyptic number.

15251509009 is the 123497-th square number.

15251509009 is the 61749-th centered octagonal number.

It is an amenable number.

15251509009 is a deficient number, since it is larger than the sum of its proper divisors (1833615530).

15251509009 is an equidigital number, since it uses as much as digits as its factorization.

15251509009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 37.

The spelling of 15251509009 in words is "fifteen billion, two hundred fifty-one million, five hundred nine thousand, nine".