3563635690009 has 2 divisors, whose sum is σ = 3563635690010. Its totient is φ = 3563635690008.

The previous prime is 3563635690007. The next prime is 3563635690037. The reversal of 3563635690009 is 9000965363653.

3563635690009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3515793752025 + 47841937984 = 1875045^2 + 218728^2 .

It is a cyclic number.

It is not a de Polignac number, because 3563635690009 - 2¹ = 3563635690007 is a prime.

It is a super-2 number, since 2×3563635690009² (a number of 26 digits) contains 22 as substring.

Together with 3563635690007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3563635690007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1781817845004 + 1781817845005.

It is an arithmetic number, because the mean of its divisors is an integer number (1781817845005).

Almost surely, 2^{3563635690009} is an apocalyptic number.

It is an amenable number.

3563635690009 is a deficient number, since it is larger than the sum of its proper divisors (1).

3563635690009 is an equidigital number, since it uses as much as digits as its factorization.

3563635690009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11809800, while the sum is 55.

The spelling of 3563635690009 in words is "three trillion, five hundred sixty-three billion, six hundred thirty-five million, six hundred ninety thousand, nine".