13259983104 has 81 divisors (see below), whose sum is σ = 38247743443. Its totient is φ = 4418151936.

The previous prime is 13259983097. The next prime is 13259983109. The reversal of 13259983104 is 40138995231.

It is a happy number.

The square root of 13259983104 is 115152.

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

13259983104 is a `hidden beast` number, since 1 + 325 + 9 + 9 + 8 + 310 + 4 = 666.

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 13259983104.

It is not an unprimeable number, because it can be changed into a prime (13259983109) 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, 5526097 + ... + 5528495.

Almost surely, 2^13259983104 is an apocalyptic number.

13259983104 is the 115152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13259983104

13259983104 is an abundant number, since it is smaller than the sum of its proper divisors (24987760339).

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

13259983104 is an frugal number, since it uses more digits than its factorization.

13259983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13259983104 in words is "thirteen billion, two hundred fifty-nine million, nine hundred eighty-three thousand, one hundred four".