13254451252032 has 224 divisors, whose sum is σ = 35450187208704. Its totient is φ = 4370481561600.

The previous prime is 13254451252019. The next prime is 13254451252033. The reversal of 13254451252032 is 23025215445231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13254451252033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4962354057 + ... + 4962356727.

Almost surely, 2^{13254451252032} is an apocalyptic number.

13254451252032 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 13254451252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725093604352).

13254451252032 is an abundant number, since it is smaller than the sum of its proper divisors (22195735956672).

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

13254451252032 is a wasteful number, since it uses less digits than its factorization.

13254451252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 13254451252032 its reverse (23025215445231), we get a palindrome (36279666697263).

The spelling of 13254451252032 in words is "thirteen trillion, two hundred fifty-four billion, four hundred fifty-one million, two hundred fifty-two thousand, thirty-two".