5585013688313 has 2 divisors, whose sum is σ = 5585013688314. Its totient is φ = 5585013688312.

The previous prime is 5585013688273. The next prime is 5585013688343. The reversal of 5585013688313 is 3138863105855.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4908847910464 + 676165777849 = 2215592^2 + 822293^2 .

It is a cyclic number.

It is not a de Polignac number, because 5585013688313 - 2¹⁴ = 5585013671929 is a prime.

It is not a weakly prime, because it can be changed into another prime (5585013688343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2792506844156 + 2792506844157.

It is an arithmetic number, because the mean of its divisors is an integer number (2792506844157).

Almost surely, 2^{5585013688313} is an apocalyptic number.

It is an amenable number.

5585013688313 is a deficient number, since it is larger than the sum of its proper divisors (1).

5585013688313 is an equidigital number, since it uses as much as digits as its factorization.

5585013688313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368000, while the sum is 56.

The spelling of 5585013688313 in words is "five trillion, five hundred eighty-five billion, thirteen million, six hundred eighty-eight thousand, three hundred thirteen".