13605612129 has 6 divisors (see below), whose sum is σ = 19652550866. Its totient is φ = 9070408080.

The previous prime is 13605612127. The next prime is 13605612149. The reversal of 13605612129 is 92121650631.

13605612129 is a `hidden beast` number, since 1 + 3 + 605 + 6 + 1 + 21 + 29 = 666.

13605612129 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., 8961462225 + 4644149904 = 94665^2 + 68148^2 .

It is not a de Polignac number, because 13605612129 - 2¹ = 13605612127 is a prime.

It is a super-2 number, since 2×13605612129² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13605612093 and 13605612102.

It is not an unprimeable number, because it can be changed into a prime (13605612127) 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 5 ways as a sum of consecutive naturals, for example, 755867332 + ... + 755867349.

Almost surely, 2^13605612129 is an apocalyptic number.

It is an amenable number.

13605612129 is a deficient number, since it is larger than the sum of its proper divisors (6046938737).

13605612129 is a wasteful number, since it uses less digits than its factorization.

13605612129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511734687 (or 1511734684 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13605612129 in words is "thirteen billion, six hundred five million, six hundred twelve thousand, one hundred twenty-nine".