13582108561 has 24 divisors (see below), whose sum is σ = 16641108960. Its totient is φ = 11022480000.

The previous prime is 13582108549. The next prime is 13582108567. The reversal of 13582108561 is 16580128531.

It is a happy number.

It is not a de Polignac number, because 13582108561 - 2³¹ = 11434624913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13582108567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2092441 + ... + 2098921.

It is an arithmetic number, because the mean of its divisors is an integer number (693379540).

Almost surely, 2^13582108561 is an apocalyptic number.

It is an amenable number.

13582108561 is a deficient number, since it is larger than the sum of its proper divisors (3059000399).

13582108561 is a wasteful number, since it uses less digits than its factorization.

13582108561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 13582108561 in words is "thirteen billion, five hundred eighty-two million, one hundred eight thousand, five hundred sixty-one".