13584135601 has 9 divisors (see below), whose sum is σ = 14072207851. Its totient is φ = 13112453704.

The previous prime is 13584135599. The next prime is 13584135619. The reversal of 13584135601 is 10653148531.

The square root of 13584135601 is 116551.

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

It can be written as a sum of positive squares in only one way, i.e., 7123191201 + 6460944400 = 84399^2 + 80380^2 .

It is not a de Polignac number, because 13584135601 - 2¹ = 13584135599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13584135641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3377970 + ... + 3381988.

Almost surely, 2^13584135601 is an apocalyptic number.

13584135601 is the 116551-st square number.

13584135601 is the 58276-th centered octagonal number.

It is an amenable number.

13584135601 is a deficient number, since it is larger than the sum of its proper divisors (488072250).

13584135601 is an frugal number, since it uses more digits than its factorization.

13584135601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 13584135601 in words is "thirteen billion, five hundred eighty-four million, one hundred thirty-five thousand, six hundred one".