13053768 has 128 divisors (see below), whose sum is σ = 41395200. Its totient is φ = 3338496.

The previous prime is 13053749. The next prime is 13053791. The reversal of 13053768 is 86735031.

It is a happy number.

13053768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3613²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93843 + ... + 93981.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 2^13053768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13053768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697600).

13053768 is an abundant number, since it is smaller than the sum of its proper divisors (28341432).

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

13053768 is a wasteful number, since it uses less digits than its factorization.

13053768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 13053768 is about 3612.9998616108. Note that the first 3 decimals coincide. The cubic root of 13053768 is about 235.4571935485.

Adding to 13053768 its reverse (86735031), we get a palindrome (99788799).

The spelling of 13053768 in words is "thirteen million, fifty-three thousand, seven hundred sixty-eight".