13500305505 has 64 divisors (see below), whose sum is σ = 25356268800. Its totient is φ = 6796224000.

The previous prime is 13500305503. The next prime is 13500305531. The reversal of 13500305505 is 50550300531.

13500305505 is a `hidden beast` number, since 1 + 350 + 0 + 305 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 13500305505 - 2¹ = 13500305503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13500305503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701005 + ... + 720005.

It is an arithmetic number, because the mean of its divisors is an integer number (396191700).

Almost surely, 2^13500305505 is an apocalyptic number.

13500305505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13500305505 is a deficient number, since it is larger than the sum of its proper divisors (11855963295).

13500305505 is a wasteful number, since it uses less digits than its factorization.

13500305505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19311 (or 19305 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The spelling of 13500305505 in words is "thirteen billion, five hundred million, three hundred five thousand, five hundred five".