13609287552 has 128 divisors (see below), whose sum is σ = 41380796160. Its totient is φ = 3882074112.

The previous prime is 13609287551. The next prime is 13609287553. The reversal of 13609287552 is 25578290631.

13609287552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13609287551) and next prime (13609287553).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13609287551) 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 15 ways as a sum of consecutive naturals, for example, 1805263 + ... + 1812785.

It is an arithmetic number, because the mean of its divisors is an integer number (323287470).

Almost surely, 2^13609287552 is an apocalyptic number.

13609287552 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 13609287552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690398080).

13609287552 is an abundant number, since it is smaller than the sum of its proper divisors (27771508608).

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

13609287552 is an equidigital number, since it uses as much as digits as its factorization.

13609287552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 13609287552 in words is "thirteen billion, six hundred nine million, two hundred eighty-seven thousand, five hundred fifty-two".