5105892556799 has 2 divisors, whose sum is σ = 5105892556800. Its totient is φ = 5105892556798.

The previous prime is 5105892556747. The next prime is 5105892556801. The reversal of 5105892556799 is 9976552985015.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 5105892556799 - 2³⁶ = 5037173080063 is a prime.

It is a super-3 number, since 3×5105892556799³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 5105892556801, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5105892550799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2552946278399 + 2552946278400.

It is an arithmetic number, because the mean of its divisors is an integer number (2552946278400).

Almost surely, 2^{5105892556799} is an apocalyptic number.

5105892556799 is a deficient number, since it is larger than the sum of its proper divisors (1).

5105892556799 is an equidigital number, since it uses as much as digits as its factorization.

5105892556799 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 306180000, while the sum is 71.

The spelling of 5105892556799 in words is "five trillion, one hundred five billion, eight hundred ninety-two million, five hundred fifty-six thousand, seven hundred ninety-nine".