13261603632563 has 32 divisors (see below), whose sum is σ = 16159576531392. Its totient is φ = 10720638144000.

The previous prime is 13261603632521. The next prime is 13261603632649. The reversal of 13261603632563 is 36523630616231.

It is a cyclic number.

It is not a de Polignac number, because 13261603632563 - 2⁶ = 13261603632499 is a prime.

It is a super-2 number, since 2×13261603632563² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13261603662563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11873756 + ... + 12942537.

It is an arithmetic number, because the mean of its divisors is an integer number (504986766606).

Almost surely, 2^{13261603632563} is an apocalyptic number.

13261603632563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13261603632563 is a deficient number, since it is larger than the sum of its proper divisors (2897972898829).

13261603632563 is a wasteful number, since it uses less digits than its factorization.

13261603632563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24816455.

The product of its (nonzero) digits is 2099520, while the sum is 47.

The spelling of 13261603632563 in words is "thirteen trillion, two hundred sixty-one billion, six hundred three million, six hundred thirty-two thousand, five hundred sixty-three".