12511093609 has 45 divisors (see below), whose sum is σ = 15908592897. Its totient is φ = 9809060688.

The previous prime is 12511093601. The next prime is 12511093627. The reversal of 12511093609 is 90639011521.

It is a happy number.

The square root of 12511093609 is 111853.

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

12511093609 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 2 ways, for example, as 29735209 + 12481358400 = 5453^2 + 111720^2 .

It is not a de Polignac number, because 12511093609 - 2³ = 12511093601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12511093601) 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 44 ways as a sum of consecutive naturals, for example, 431417007 + ... + 431417035.

Almost surely, 2^12511093609 is an apocalyptic number.

12511093609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12511093609 is the 111853-rd square number.

12511093609 is the 55927-th centered octagonal number.

It is an amenable number.

12511093609 is a deficient number, since it is larger than the sum of its proper divisors (3397499288).

12511093609 is an frugal number, since it uses more digits than its factorization.

12511093609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 12511093609 in words is "twelve billion, five hundred eleven million, ninety-three thousand, six hundred nine".