13509471072 has 48 divisors (see below), whose sum is σ = 35569582272. Its totient is φ = 4489541760.

The previous prime is 13509471071. The next prime is 13509471083. The reversal of 13509471072 is 27017490531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13509471072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13509471071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180798 + ... + 244349.

It is an arithmetic number, because the mean of its divisors is an integer number (741032964).

Almost surely, 2^13509471072 is an apocalyptic number.

13509471072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13509471072 is an abundant number, since it is smaller than the sum of its proper divisors (22060111200).

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

13509471072 is a wasteful number, since it uses less digits than its factorization.

13509471072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425491 (or 425483 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 13509471072 in words is "thirteen billion, five hundred nine million, four hundred seventy-one thousand, seventy-two".