13735605601 has 9 divisors (see below), whose sum is σ = 13822289299. Its totient is φ = 13649464336.

The previous prime is 13735605599. The next prime is 13735605607. The reversal of 13735605601 is 10650653731.

The square root of 13735605601 is 117199.

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

13735605601 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., 2789424225 + 10946181376 = 52815^2 + 104624^2 .

It is not a de Polignac number, because 13735605601 - 2¹ = 13735605599 is a prime.

It is a super-2 number, since 2×13735605601² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13735605607) 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, 27307116 + ... + 27307618.

Almost surely, 2^13735605601 is an apocalyptic number.

13735605601 is the 117199-th square number.

13735605601 is the 58600-th centered octagonal number.

It is an amenable number.

13735605601 is a deficient number, since it is larger than the sum of its proper divisors (86683698).

13735605601 is an frugal number, since it uses more digits than its factorization.

13735605601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The spelling of 13735605601 in words is "thirteen billion, seven hundred thirty-five million, six hundred five thousand, six hundred one".