4138693865513 has 2 divisors, whose sum is σ = 4138693865514. Its totient is φ = 4138693865512.

The previous prime is 4138693865479. The next prime is 4138693865531. The reversal of 4138693865513 is 3155683968314.

It is a happy number.

Together with next prime (4138693865531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3459737641369 + 678956224144 = 1860037^2 + 823988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4138693865513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4138693165513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2069346932756 + 2069346932757.

It is an arithmetic number, because the mean of its divisors is an integer number (2069346932757).

Almost surely, 2^{4138693865513} is an apocalyptic number.

It is an amenable number.

4138693865513 is a deficient number, since it is larger than the sum of its proper divisors (1).

4138693865513 is an equidigital number, since it uses as much as digits as its factorization.

4138693865513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55987200, while the sum is 62.

The spelling of 4138693865513 in words is "four trillion, one hundred thirty-eight billion, six hundred ninety-three million, eight hundred sixty-five thousand, five hundred thirteen".