13524042540 has 48 divisors (see below), whose sum is σ = 38509148160. Its totient is φ = 3545284800.

The previous prime is 13524042517. The next prime is 13524042541. The reversal of 13524042540 is 4524042531.

It is a super-3 number, since 3×13524042540³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13524042498 and 13524042507.

It is not an unprimeable number, because it can be changed into a prime (13524042541) 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 15 ways as a sum of consecutive naturals, for example, 1906636 + ... + 1913715.

It is an arithmetic number, because the mean of its divisors is an integer number (802273920).

Almost surely, 2^13524042540 is an apocalyptic number.

13524042540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13524042540 is an abundant number, since it is smaller than the sum of its proper divisors (24985105620).

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

13524042540 is a wasteful number, since it uses less digits than its factorization.

13524042540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820422 (or 3820420 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Subtracting from 13524042540 its reverse (4524042531), we obtain a palindrome (9000000009).

The spelling of 13524042540 in words is "thirteen billion, five hundred twenty-four million, forty-two thousand, five hundred forty".