13505040305 has 32 divisors (see below), whose sum is σ = 17760211200. Its totient is φ = 9819194112.

The previous prime is 13505040299. The next prime is 13505040313. The reversal of 13505040305 is 50304050531.

It is a cyclic number.

It is not a de Polignac number, because 13505040305 - 2¹⁴ = 13505023921 is a prime.

It is a super-2 number, since 2×13505040305² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 416924 + ... + 448146.

It is an arithmetic number, because the mean of its divisors is an integer number (555006600).

Almost surely, 2^13505040305 is an apocalyptic number.

It is an amenable number.

13505040305 is a deficient number, since it is larger than the sum of its proper divisors (4255170895).

13505040305 is a wasteful number, since it uses less digits than its factorization.

13505040305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31433.

The product of its (nonzero) digits is 4500, while the sum is 26.

Adding to 13505040305 its reverse (50304050531), we get a palindrome (63809090836).

The spelling of 13505040305 in words is "thirteen billion, five hundred five million, forty thousand, three hundred five".