13524354024552 has 384 divisors, whose sum is σ = 42797532960000. Its totient is φ = 3778643312640.

The previous prime is 13524354024509. The next prime is 13524354024557. The reversal of 13524354024552 is 25542045342531.

13524354024552 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 4 + 35 + 40 + 24 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13524354024498 and 13524354024507.

It is not an unprimeable number, because it can be changed into a prime (13524354024557) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5364677052 + ... + 5364679572.

It is an arithmetic number, because the mean of its divisors is an integer number (111451908750).

Almost surely, 2^{13524354024552} is an apocalyptic number.

13524354024552 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 13524354024552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398766480000).

13524354024552 is an abundant number, since it is smaller than the sum of its proper divisors (29273178935448).

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

13524354024552 is a wasteful number, since it uses less digits than its factorization.

13524354024552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 13524354024552 in words is "thirteen trillion, five hundred twenty-four billion, three hundred fifty-four million, twenty-four thousand, five hundred fifty-two".