51050006101 has 2 divisors, whose sum is σ = 51050006102. Its totient is φ = 51050006100.

The previous prime is 51050006099. The next prime is 51050006143. The reversal of 51050006101 is 10160005015.

51050006101 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., 47755360900 + 3294645201 = 218530^2 + 57399^2 .

It is a cyclic number.

It is not a de Polignac number, because 51050006101 - 2¹ = 51050006099 is a prime.

It is a super-2 number, since 2×51050006101² (a number of 22 digits) contains 22 as substring.

Together with 51050006099, 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 (51050006191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25525003050 + 25525003051.

It is an arithmetic number, because the mean of its divisors is an integer number (25525003051).

Almost surely, 2^51050006101 is an apocalyptic number.

It is an amenable number.

51050006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51050006101 is an equidigital number, since it uses as much as digits as its factorization.

51050006101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 51050006101 in words is "fifty-one billion, fifty million, six thousand, one hundred one".