13506205452 has 96 divisors (see below), whose sum is σ = 33480179712. Its totient is φ = 4228758336.

The previous prime is 13506205439. The next prime is 13506205459. The reversal of 13506205452 is 25450260531.

It is a super-3 number, since 3×13506205452³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13506205459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7081483 + ... + 7083389.

It is an arithmetic number, because the mean of its divisors is an integer number (348751872).

Almost surely, 2^13506205452 is an apocalyptic number.

13506205452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13506205452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740089856).

13506205452 is an abundant number, since it is smaller than the sum of its proper divisors (19973974260).

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

13506205452 is a wasteful number, since it uses less digits than its factorization.

13506205452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 13506205452 its reverse (25450260531), we get a palindrome (38956465983).

The spelling of 13506205452 in words is "thirteen billion, five hundred six million, two hundred five thousand, four hundred fifty-two".