13305305 has 16 divisors (see below), whose sum is σ = 18207504. Its totient is φ = 9246720.

The previous prime is 13305241. The next prime is 13305307. The reversal of 13305305 is 50350331.

13305305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33856 + 13271449 = 184^2 + 3643^2 .

It is not a de Polignac number, because 13305305 - 2⁶ = 13305241 is a prime.

It is a super-2 number, since 2×13305305² = 354062282286050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13305307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4916 + ... + 7125.

It is an arithmetic number, because the mean of its divisors is an integer number (1137969).

Almost surely, 2^13305305 is an apocalyptic number.

It is an amenable number.

13305305 is a deficient number, since it is larger than the sum of its proper divisors (4902199).

13305305 is a wasteful number, since it uses less digits than its factorization.

13305305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076.

The product of its (nonzero) digits is 675, while the sum is 20.

The square root of 13305305 is about 3647.6437600182. The cubic root of 13305305 is about 236.9599474174.

Adding to 13305305 its reverse (50350331), we get a palindrome (63655636).

The spelling of 13305305 in words is "thirteen million, three hundred five thousand, three hundred five".