13506205050 has 288 divisors, whose sum is σ = 42014935872. Its totient is φ = 3080816640.

The previous prime is 13506205001. The next prime is 13506205109. The reversal of 13506205050 is 5050260531.

13506205050 is a `hidden beast` number, since 1 + 35 + 0 + 620 + 5 + 0 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6662137 + ... + 6664163.

It is an arithmetic number, because the mean of its divisors is an integer number (145885194).

Almost surely, 2^13506205050 is an apocalyptic number.

13506205050 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 13506205050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21007467936).

13506205050 is an abundant number, since it is smaller than the sum of its proper divisors (28508730822).

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

13506205050 is a wasteful number, since it uses less digits than its factorization.

13506205050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

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

Adding to 13506205050 its reverse (5050260531), we get a palindrome (18556465581).

The spelling of 13506205050 in words is "thirteen billion, five hundred six million, two hundred five thousand, fifty".