13635200241 has 12 divisors (see below), whose sum is σ = 21210311668. Its totient is φ = 8390892384.

The previous prime is 13635200203. The next prime is 13635200263. The reversal of 13635200241 is 14200253631.

13635200241 is a `hidden beast` number, since 1 + 3 + 635 + 2 + 0 + 0 + 24 + 1 = 666.

13635200241 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 2 ways, for example, as 5444226225 + 8190974016 = 73785^2 + 90504^2 .

It is not a de Polignac number, because 13635200241 - 2⁷ = 13635200113 is a prime.

It is a super-2 number, since 2×13635200241² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13635200941) 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 11 ways as a sum of consecutive naturals, for example, 58269970 + ... + 58270203.

Almost surely, 2^13635200241 is an apocalyptic number.

It is an amenable number.

13635200241 is a deficient number, since it is larger than the sum of its proper divisors (7575111427).

13635200241 is a wasteful number, since it uses less digits than its factorization.

13635200241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116540192 (or 116540189 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13635200241 its reverse (14200253631), we get a palindrome (27835453872).

The spelling of 13635200241 in words is "thirteen billion, six hundred thirty-five million, two hundred thousand, two hundred forty-one".