13581519000 has 256 divisors, whose sum is σ = 49115289600. Its totient is φ = 3060288000.

The previous prime is 13581518999. The next prime is 13581519019. The reversal of 13581519000 is 91518531.

It is a super-2 number, since 2×13581519000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1486446 + ... + 1495554.

It is an arithmetic number, because the mean of its divisors is an integer number (191856600).

Almost surely, 2^13581519000 is an apocalyptic number.

13581519000 is a gapful number since it is divisible by the number (10) 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 13581519000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24557644800).

13581519000 is an abundant number, since it is smaller than the sum of its proper divisors (35533770600).

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

13581519000 is a wasteful number, since it uses less digits than its factorization.

13581519000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 13581519000 in words is "thirteen billion, five hundred eighty-one million, five hundred nineteen thousand".