51050050605013 has 2 divisors, whose sum is σ = 51050050605014. Its totient is φ = 51050050605012.

The previous prime is 51050050605011. The next prime is 51050050605077. The reversal of 51050050605013 is 31050605005015.

51050050605013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32494822378929 + 18555228226084 = 5700423^2 + 4307578^2 .

It is a cyclic number.

It is not a de Polignac number, because 51050050605013 - 2¹ = 51050050605011 is a prime.

It is a super-2 number, since 2×51050050605013² (a number of 28 digits) contains 22 as substring.

Together with 51050050605011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51050050605011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25525025302506 + 25525025302507.

It is an arithmetic number, because the mean of its divisors is an integer number (25525025302507).

Almost surely, 2^{51050050605013} is an apocalyptic number.

It is an amenable number.

51050050605013 is a deficient number, since it is larger than the sum of its proper divisors (1).

51050050605013 is an equidigital number, since it uses as much as digits as its factorization.

51050050605013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11250, while the sum is 31.

The spelling of 51050050605013 in words is "fifty-one trillion, fifty billion, fifty million, six hundred five thousand, thirteen".