13500533510513 has 64 divisors (see below), whose sum is σ = 15913675653120. Its totient is φ = 11215481659200.

The previous prime is 13500533510483. The next prime is 13500533510521. The reversal of 13500533510513 is 31501533500531.

It is a happy number.

It is not a de Polignac number, because 13500533510513 - 2²⁸ = 13500265075057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13500533510533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14819465528 + ... + 14819466438.

It is an arithmetic number, because the mean of its divisors is an integer number (248651182080).

Almost surely, 2^{13500533510513} is an apocalyptic number.

It is an amenable number.

13500533510513 is a deficient number, since it is larger than the sum of its proper divisors (2413142142607).

13500533510513 is an equidigital number, since it uses as much as digits as its factorization.

13500533510513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298.

The product of its (nonzero) digits is 50625, while the sum is 35.

The spelling of 13500533510513 in words is "thirteen trillion, five hundred billion, five hundred thirty-three million, five hundred ten thousand, five hundred thirteen".