13524513420 has 96 divisors (see below), whose sum is σ = 41507456256. Its totient is φ = 3263097600.

The previous prime is 13524513371. The next prime is 13524513451. The reversal of 13524513420 is 2431542531.

13524513420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90702 + ... + 187818.

It is an arithmetic number, because the mean of its divisors is an integer number (432369336).

Almost surely, 2^13524513420 is an apocalyptic number.

13524513420 is a gapful number since it is divisible by the number (10) 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 13524513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20753728128).

13524513420 is an abundant number, since it is smaller than the sum of its proper divisors (27982942836).

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

13524513420 is a wasteful number, since it uses less digits than its factorization.

13524513420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97351 (or 97349 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13524513420 in words is "thirteen billion, five hundred twenty-four million, five hundred thirteen thousand, four hundred twenty".