13530035305 has 16 divisors (see below), whose sum is σ = 16547308560. Its totient is φ = 10616639488.

The previous prime is 13530035291. The next prime is 13530035317. The reversal of 13530035305 is 50353003531.

It can be written as a sum of positive squares in 8 ways, for example, as 267518736 + 13262516569 = 16356^2 + 115163^2 .

It is a cyclic number.

It is not a de Polignac number, because 13530035305 - 2¹⁵ = 13530002537 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322289 + ... + 1332481.

It is an arithmetic number, because the mean of its divisors is an integer number (1034206785).

Almost surely, 2^13530035305 is an apocalyptic number.

It is an amenable number.

13530035305 is a deficient number, since it is larger than the sum of its proper divisors (3017273255).

13530035305 is a wasteful number, since it uses less digits than its factorization.

13530035305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15260.

The product of its (nonzero) digits is 10125, while the sum is 28.

Adding to 13530035305 its reverse (50353003531), we get a palindrome (63883038836).

The spelling of 13530035305 in words is "thirteen billion, five hundred thirty million, thirty-five thousand, three hundred five".