13186125552 has 80 divisors (see below), whose sum is σ = 35952560000. Its totient is φ = 4152943872.

The previous prime is 13186125529. The next prime is 13186125613. The reversal of 13186125552 is 25552168131.

13186125552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13186125552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326574 + ... + 364722.

It is an arithmetic number, because the mean of its divisors is an integer number (449407000).

Almost surely, 2^13186125552 is an apocalyptic number.

13186125552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13186125552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17976280000).

13186125552 is an abundant number, since it is smaller than the sum of its proper divisors (22766434448).

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

13186125552 is a wasteful number, since it uses less digits than its factorization.

13186125552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38558 (or 38552 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The spelling of 13186125552 in words is "thirteen billion, one hundred eighty-six million, one hundred twenty-five thousand, five hundred fifty-two".