13535530305 has 96 divisors (see below), whose sum is σ = 25197499008. Its totient is φ = 6151987200.

The previous prime is 13535530303. The next prime is 13535530331. The reversal of 13535530305 is 50303553531.

13535530305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13535530305 - 2¹ = 13535530303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13535530301) 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 95 ways as a sum of consecutive naturals, for example, 17786125 + ... + 17786885.

It is an arithmetic number, because the mean of its divisors is an integer number (262473948).

Almost surely, 2^13535530305 is an apocalyptic number.

13535530305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13535530305 is a deficient number, since it is larger than the sum of its proper divisors (11661968703).

13535530305 is a wasteful number, since it uses less digits than its factorization.

13535530305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 50625, while the sum is 33.

The spelling of 13535530305 in words is "thirteen billion, five hundred thirty-five million, five hundred thirty thousand, three hundred five".