13509081828 has 120 divisors (see below), whose sum is σ = 38568720960. Its totient is φ = 4089113280.

The previous prime is 13509081811. The next prime is 13509081853. The reversal of 13509081828 is 82818090531.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4642438 + ... + 4645346.

It is an arithmetic number, because the mean of its divisors is an integer number (321406008).

Almost surely, 2^13509081828 is an apocalyptic number.

13509081828 is a gapful number since it is divisible by the number (18) 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 13509081828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284360480).

13509081828 is an abundant number, since it is smaller than the sum of its proper divisors (25059639132).

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

13509081828 is a wasteful number, since it uses less digits than its factorization.

13509081828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 13509081828 in words is "thirteen billion, five hundred nine million, eighty-one thousand, eight hundred twenty-eight".