13530541005 has 12 divisors (see below), whose sum is σ = 23452937820. Its totient is φ = 7216288512.

The previous prime is 13530540917. The next prime is 13530541007. The reversal of 13530541005 is 50014503531.

It can be written as a sum of positive squares in 2 ways, for example, as 7676913924 + 5853627081 = 87618^2 + 76509^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13530541005 is a prime.

It is a super-3 number, since 3×13530541005³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13530541005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530541007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150339300 + ... + 150339389.

It is an arithmetic number, because the mean of its divisors is an integer number (1954411485).

Almost surely, 2^13530541005 is an apocalyptic number.

13530541005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13530541005 is a deficient number, since it is larger than the sum of its proper divisors (9922396815).

13530541005 is a wasteful number, since it uses less digits than its factorization.

13530541005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300678700 (or 300678697 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13530541005 in words is "thirteen billion, five hundred thirty million, five hundred forty-one thousand, five".