13530638763 has 72 divisors (see below), whose sum is σ = 20890947168. Its totient is φ = 8759477376.

The previous prime is 13530638717. The next prime is 13530638773. The reversal of 13530638763 is 36783603531.

13530638763 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 638 + 7 + 6 + 3 = 666.

It is not a de Polignac number, because 13530638763 - 2²⁸ = 13262203307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13530638773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58071295 + ... + 58071527.

It is an arithmetic number, because the mean of its divisors is an integer number (290152044).

Almost surely, 2^13530638763 is an apocalyptic number.

13530638763 is a deficient number, since it is larger than the sum of its proper divisors (7360308405).

13530638763 is an frugal number, since it uses more digits than its factorization.

13530638763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 13530638763 in words is "thirteen billion, five hundred thirty million, six hundred thirty-eight thousand, seven hundred sixty-three".