51105408343337 has 2 divisors, whose sum is σ = 51105408343338. Its totient is φ = 51105408343336.

The previous prime is 51105408343333. The next prime is 51105408343343. The reversal of 51105408343337 is 73334380450115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36423107944336 + 14682300399001 = 6035156^2 + 3831749^2 .

It is a cyclic number.

It is not a de Polignac number, because 51105408343337 - 2² = 51105408343333 is a prime.

It is a super-2 number, since 2×51105408343337² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51105408343291 and 51105408343300.

It is not a weakly prime, because it can be changed into another prime (51105408343333) 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, 25552704171668 + 25552704171669.

It is an arithmetic number, because the mean of its divisors is an integer number (25552704171669).

Almost surely, 2^{51105408343337} is an apocalyptic number.

It is an amenable number.

51105408343337 is a deficient number, since it is larger than the sum of its proper divisors (1).

51105408343337 is an equidigital number, since it uses as much as digits as its factorization.

51105408343337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 51105408343337 in words is "fifty-one trillion, one hundred five billion, four hundred eight million, three hundred forty-three thousand, three hundred thirty-seven".