13287864529 has 9 divisors (see below), whose sum is σ = 14026346217. Its totient is φ = 12586428324.

The previous prime is 13287864509. The next prime is 13287864539. The reversal of 13287864529 is 92546878231.

The square root of 13287864529 is 115273.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 13287864529 - 2¹⁵ = 13287831761 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13287864529.

It is not an unprimeable number, because it can be changed into a prime (13287864509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2187154 + ... + 2193220.

It is an arithmetic number, because the mean of its divisors is an integer number (1558482913).

Almost surely, 2^13287864529 is an apocalyptic number.

13287864529 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13287864529 is the 115273-rd square number.

13287864529 is the 57637-th centered octagonal number.

It is an amenable number.

13287864529 is a deficient number, since it is larger than the sum of its proper divisors (738481688).

13287864529 is an frugal number, since it uses more digits than its factorization.

13287864529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 6086 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 13287864529 in words is "thirteen billion, two hundred eighty-seven million, eight hundred sixty-four thousand, five hundred twenty-nine".