13054403638521 has 192 divisors, whose sum is σ = 22839286579200. Its totient is φ = 7028869478400.

The previous prime is 13054403638501. The next prime is 13054403638559. The reversal of 13054403638521 is 12583630445031.

13054403638521 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 4 + 4 + 0 + 3 + 638 + 5 + 2 + 1 = 666.

It is not a de Polignac number, because 13054403638521 - 2⁶ = 13054403638457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13054403638501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9882212541 + ... + 9882213861.

It is an arithmetic number, because the mean of its divisors is an integer number (118954617600).

Almost surely, 2^{13054403638521} is an apocalyptic number.

It is an amenable number.

13054403638521 is a deficient number, since it is larger than the sum of its proper divisors (9784882940679).

13054403638521 is a wasteful number, since it uses less digits than its factorization.

13054403638521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 13054403638521 in words is "thirteen trillion, fifty-four billion, four hundred three million, six hundred thirty-eight thousand, five hundred twenty-one".