13017786672289 has 63 divisors (see below), whose sum is σ = 15516286056243. Its totient is φ = 10921554051408.

The previous prime is 13017786672239. The next prime is 13017786672301. The reversal of 13017786672289 is 98227668771031.

The square root of 13017786672289 is 3608017.

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

13017786672289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3815712958225 + 9202073714064 = 1953385^2 + 3033492^2 .

It is not a de Polignac number, because 13017786672289 - 2¹³ = 13017786664097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is not an unprimeable number, because it can be changed into a prime (13017786672239) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 82915838599 + ... + 82915838755.

It is an arithmetic number, because the mean of its divisors is an integer number (246290254861).

Almost surely, 2^{13017786672289} is an apocalyptic number.

13017786672289 is the 3608017-th square number.

13017786672289 is the 1804009-th centered octagonal number.

It is an amenable number.

13017786672289 is a deficient number, since it is larger than the sum of its proper divisors (2498499383954).

13017786672289 is an frugal number, since it uses more digits than its factorization.

13017786672289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 67.

The spelling of 13017786672289 in words is "thirteen trillion, seventeen billion, seven hundred eighty-six million, six hundred seventy-two thousand, two hundred eighty-nine".