13109563009 has 9 divisors (see below), whose sum is σ = 13335101481. Its totient is φ = 12887782320.

The previous prime is 13109563003. The next prime is 13109563063. The reversal of 13109563009 is 90036590131.

The square root of 13109563009 is 114497.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2760977025 + 10348585984 = 52545^2 + 101728^2 .

It is not a de Polignac number, because 13109563009 - 2³ = 13109563001 is a prime.

It is a super-2 number, since 2×13109563009² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13109563001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6983379 + ... + 6985255.

Almost surely, 2^13109563009 is an apocalyptic number.

13109563009 is the 114497-th square number.

13109563009 is the 57249-th centered octagonal number.

It is an amenable number.

13109563009 is a deficient number, since it is larger than the sum of its proper divisors (225538472).

13109563009 is an frugal number, since it uses more digits than its factorization.

13109563009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 37.

The spelling of 13109563009 in words is "thirteen billion, one hundred nine million, five hundred sixty-three thousand, nine".