13305516 has 48 divisors (see below), whose sum is σ = 35750400. Its totient is φ = 3772800.

The previous prime is 13305511. The next prime is 13305517. The reversal of 13305516 is 61550331.

It is not an unprimeable number, because it can be changed into a prime (13305511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12160 + ... + 13208.

It is an arithmetic number, because the mean of its divisors is an integer number (744800).

Almost surely, 2^13305516 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 13305516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875200).

13305516 is an abundant number, since it is smaller than the sum of its proper divisors (22444884).

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

13305516 is a wasteful number, since it uses less digits than its factorization.

13305516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 13305516 is about 3647.6726826841. The cubic root of 13305516 is about 236.9612000077.

Adding to 13305516 its reverse (61550331), we get a palindrome (74855847).

The spelling of 13305516 in words is "thirteen million, three hundred five thousand, five hundred sixteen".