12576949609 has 27 divisors (see below), whose sum is σ = 15071236677. Its totient is φ = 10464660864.

The previous prime is 12576949601. The next prime is 12576949657. The reversal of 12576949609 is 90694967521.

The square root of 12576949609 is 112147.

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

12576949609 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 4 ways, for example, as 1570009 + 12575379600 = 1253^2 + 112140^2 .

It is not a de Polignac number, because 12576949609 - 2³ = 12576949601 is a prime.

It is a super-2 number, since 2×12576949609² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12576949601) 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, 29045857 + ... + 29046289.

It is an arithmetic number, because the mean of its divisors is an integer number (558193951).

Almost surely, 2^12576949609 is an apocalyptic number.

12576949609 is the 112147-th square number.

12576949609 is the 56074-th centered octagonal number.

It is an amenable number.

12576949609 is a deficient number, since it is larger than the sum of its proper divisors (2494287068).

12576949609 is an frugal number, since it uses more digits than its factorization.

12576949609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 12576949609 in words is "twelve billion, five hundred seventy-six million, nine hundred forty-nine thousand, six hundred nine".