13787000217 has 24 divisors (see below), whose sum is σ = 20252636040. Its totient is φ = 9035470080.

The previous prime is 13787000207. The next prime is 13787000219. The reversal of 13787000217 is 71200078731.

It is a happy number.

13787000217 is a `hidden beast` number, since 1 + 378 + 70 + 0 + 0 + 217 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 649026576 + 13137973641 = 25476^2 + 114621^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13787000217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13787000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107733 + ... + 1120109.

It is an arithmetic number, because the mean of its divisors is an integer number (843859835).

Almost surely, 2^13787000217 is an apocalyptic number.

13787000217 is the 74262-nd heptagonal number.

It is an amenable number.

13787000217 is a deficient number, since it is larger than the sum of its proper divisors (6465635823).

13787000217 is a wasteful number, since it uses less digits than its factorization.

13787000217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14473 (or 14470 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

Adding to 13787000217 its reverse (71200078731), we get a palindrome (84987078948).

The spelling of 13787000217 in words is "thirteen billion, seven hundred eighty-seven million, two hundred seventeen", and thus it is an aban number.