13530540540 has 96 divisors (see below), whose sum is σ = 42007311360. Its totient is φ = 3226348800.

The previous prime is 13530540523. The next prime is 13530540571. The reversal of 13530540540 is 4504503531.

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 = 13530540498 and 13530540507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127780 + ... + 208299.

It is an arithmetic number, because the mean of its divisors is an integer number (437576160).

Almost surely, 2^13530540540 is an apocalyptic number.

13530540540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530540540 is an abundant number, since it is smaller than the sum of its proper divisors (28476770820).

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

13530540540 is a wasteful number, since it uses less digits than its factorization.

13530540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336163 (or 336161 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 13530540540 in words is "thirteen billion, five hundred thirty million, five hundred forty thousand, five hundred forty".