13525819104 has 192 divisors, whose sum is σ = 42848386560. Its totient is φ = 3649536000.

The previous prime is 13525819103. The next prime is 13525819117. The reversal of 13525819104 is 40191852531.

13525819104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525819103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4505604 + ... + 4508604.

It is an arithmetic number, because the mean of its divisors is an integer number (223168680).

Almost surely, 2^13525819104 is an apocalyptic number.

13525819104 is a gapful number since it is divisible by the number (14) 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 13525819104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21424193280).

13525819104 is an abundant number, since it is smaller than the sum of its proper divisors (29322567456).

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

13525819104 is a wasteful number, since it uses less digits than its factorization.

13525819104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 13525819104 in words is "thirteen billion, five hundred twenty-five million, eight hundred nineteen thousand, one hundred four".