13787538806565 has 12 divisors (see below), whose sum is σ = 23898400598124. Its totient is φ = 7353354030144.

The previous prime is 13787538806539. The next prime is 13787538806611. The reversal of 13787538806565 is 56560883578731.

13787538806565 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 53 + 8 + 8 + 0 + 6 + 565 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3662408442564 + 10125130364001 = 1913742^2 + 3182001^2 .

It is not a de Polignac number, because 13787538806565 - 2⁵ = 13787538806533 is a prime.

It is a super-3 number, since 3×13787538806565³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13787538806493 and 13787538806502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153194875584 + ... + 153194875673.

It is an arithmetic number, because the mean of its divisors is an integer number (1991533383177).

Almost surely, 2^{13787538806565} is an apocalyptic number.

13787538806565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13787538806565 is a deficient number, since it is larger than the sum of its proper divisors (10110861791559).

13787538806565 is a wasteful number, since it uses less digits than its factorization.

13787538806565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306389751268 (or 306389751265 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 13787538806565 in words is "thirteen trillion, seven hundred eighty-seven billion, five hundred thirty-eight million, eight hundred six thousand, five hundred sixty-five".