13540814531 has 16 divisors (see below), whose sum is σ = 14752320000. Its totient is φ = 12379633056.

The previous prime is 13540814519. The next prime is 13540814561. The reversal of 13540814531 is 13541804531.

It is a happy number.

13540814531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13540814531 - 2⁶ = 13540814467 is a prime.

It is a super-2 number, since 2×13540814531² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13540814491 and 13540814500.

It is not an unprimeable number, because it can be changed into a prime (13540814561) 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 15 ways as a sum of consecutive naturals, for example, 1394150 + ... + 1403828.

It is an arithmetic number, because the mean of its divisors is an integer number (922020000).

Almost surely, 2^13540814531 is an apocalyptic number.

13540814531 is a deficient number, since it is larger than the sum of its proper divisors (1211505469).

13540814531 is a wasteful number, since it uses less digits than its factorization.

13540814531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12266.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 13540814531 in words is "thirteen billion, five hundred forty million, eight hundred fourteen thousand, five hundred thirty-one".