13005115632 has 30 divisors (see below), whose sum is σ = 36396261512. Its totient is φ = 4335038496.

The previous prime is 13005115619. The next prime is 13005115679. The reversal of 13005115632 is 23651150031.

13005115632 is a `hidden beast` number, since 13 + 0 + 0 + 5 + 1 + 15 + 632 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13005115596 and 13005115605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45156508 + ... + 45156795.

Almost surely, 2^13005115632 is an apocalyptic number.

13005115632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13005115632 is an abundant number, since it is smaller than the sum of its proper divisors (23391145880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005115632 is a wasteful number, since it uses less digits than its factorization.

13005115632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90313317 (or 90313308 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13005115632 its reverse (23651150031), we get a palindrome (36656265663).

The spelling of 13005115632 in words is "thirteen billion, five million, one hundred fifteen thousand, six hundred thirty-two".