13735136809 has 9 divisors (see below), whose sum is σ = 13839166173. Its totient is φ = 13631886252.

The previous prime is 13735136777. The next prime is 13735136837. The reversal of 13735136809 is 90863153731.

The square root of 13735136809 is 117197.

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

13735136809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13735136809 - 2⁵ = 13735136777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13735136839) 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 8 ways as a sum of consecutive naturals, for example, 19102752 + ... + 19103470.

Almost surely, 2^13735136809 is an apocalyptic number.

13735136809 is the 117197-th square number.

13735136809 is the 58599-th centered octagonal number.

It is an amenable number.

13735136809 is a deficient number, since it is larger than the sum of its proper divisors (104029364).

13735136809 is an frugal number, since it uses more digits than its factorization.

13735136809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

It can be divided in two parts, 13735 and 136809, that added together give a square (150544 = 388²).

The spelling of 13735136809 in words is "thirteen billion, seven hundred thirty-five million, one hundred thirty-six thousand, eight hundred nine".