13585819813 has 2 divisors, whose sum is σ = 13585819814. Its totient is φ = 13585819812.

The previous prime is 13585819801. The next prime is 13585819823. The reversal of 13585819813 is 31891858531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7936493569 + 5649326244 = 89087^2 + 75162^2 .

It is a cyclic number.

It is not a de Polignac number, because 13585819813 - 2²⁹ = 13048948901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13585819823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6792909906 + 6792909907.

It is an arithmetic number, because the mean of its divisors is an integer number (6792909907).

Almost surely, 2^13585819813 is an apocalyptic number.

It is an amenable number.

13585819813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13585819813 is an equidigital number, since it uses as much as digits as its factorization.

13585819813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1036800, while the sum is 52.

The spelling of 13585819813 in words is "thirteen billion, five hundred eighty-five million, eight hundred nineteen thousand, eight hundred thirteen".