13505524554213 has 8 divisors (see below), whose sum is σ = 20008184524800. Its totient is φ = 9003683036124.

The previous prime is 13505524554167. The next prime is 13505524554239. The reversal of 13505524554213 is 31245542550531.

13505524554213 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 5 + 52 + 45 + 542 + 13 = 666.

It is not a de Polignac number, because 13505524554213 - 2⁹ = 13505524553701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505524554283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250102306533 + ... + 250102306586.

It is an arithmetic number, because the mean of its divisors is an integer number (2501023065600).

Almost surely, 2^{13505524554213} is an apocalyptic number.

It is an amenable number.

13505524554213 is a deficient number, since it is larger than the sum of its proper divisors (6502659970587).

13505524554213 is an equidigital number, since it uses as much as digits as its factorization.

13505524554213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500204613128 (or 500204613122 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 13505524554213 in words is "thirteen trillion, five hundred five billion, five hundred twenty-four million, five hundred fifty-four thousand, two hundred thirteen".