13352525132544 has 288 divisors, whose sum is σ = 42539582957760. Its totient is φ = 4106879926272.

The previous prime is 13352525132543. The next prime is 13352525132561. The reversal of 13352525132544 is 44523152525331.

13352525132544 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 2 + 52 + 51 + 3 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13352525132544.

It is not an unprimeable number, because it can be changed into a prime (13352525132543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243751942 + ... + 243806714.

It is an arithmetic number, because the mean of its divisors is an integer number (147706885270).

Almost surely, 2^{13352525132544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13352525132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21269791478880).

13352525132544 is an abundant number, since it is smaller than the sum of its proper divisors (29187057825216).

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

13352525132544 is a wasteful number, since it uses less digits than its factorization.

13352525132544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57524 (or 57504 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

Adding to 13352525132544 its reverse (44523152525331), we get a palindrome (57875677657875).

The spelling of 13352525132544 in words is "thirteen trillion, three hundred fifty-two billion, five hundred twenty-five million, one hundred thirty-two thousand, five hundred forty-four".