51688373540807 has 2 divisors, whose sum is σ = 51688373540808. Its totient is φ = 51688373540806.

The previous prime is 51688373540743. The next prime is 51688373540809. The reversal of 51688373540807 is 70804537388615.

51688373540807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51688373540807 - 2⁶ = 51688373540743 is a prime.

It is a super-2 number, since 2×51688373540807² (a number of 28 digits) contains 22 as substring.

Together with 51688373540809, 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 (51688373540809) 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, 25844186770403 + 25844186770404.

It is an arithmetic number, because the mean of its divisors is an integer number (25844186770404).

Almost surely, 2^{51688373540807} is an apocalyptic number.

51688373540807 is a deficient number, since it is larger than the sum of its proper divisors (1).

51688373540807 is an equidigital number, since it uses as much as digits as its factorization.

51688373540807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135475200, while the sum is 65.

The spelling of 51688373540807 in words is "fifty-one trillion, six hundred eighty-eight billion, three hundred seventy-three million, five hundred forty thousand, eight hundred seven".