13500541530 has 96 divisors (see below), whose sum is σ = 40272470784. Its totient is φ = 3073794048.

The previous prime is 13500541507. The next prime is 13500541559. The reversal of 13500541530 is 3514500531.

13500541530 is a `hidden beast` number, since 1 + 3 + 500 + 5 + 4 + 153 + 0 = 666.

13500541530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13500541494 and 13500541503.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 120219 + ... + 203601.

It is an arithmetic number, because the mean of its divisors is an integer number (419504904).

Almost surely, 2^13500541530 is an apocalyptic number.

13500541530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500541530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136235392).

13500541530 is an abundant number, since it is smaller than the sum of its proper divisors (26771929254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13500541530 is a wasteful number, since it uses less digits than its factorization.

13500541530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83660 (or 83657 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13500541530 in words is "thirteen billion, five hundred million, five hundred forty-one thousand, five hundred thirty".