51017471531309 has 2 divisors, whose sum is σ = 51017471531310. Its totient is φ = 51017471531308.

The previous prime is 51017471531293. The next prime is 51017471531311. The reversal of 51017471531309 is 90313517471015.

51017471531309 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 can be written as a sum of positive squares in only one way, i.e., 48619898003209 + 2397573528100 = 6972797^2 + 1548410^2 .

It is a cyclic number.

It is not a de Polignac number, because 51017471531309 - 2⁴ = 51017471531293 is a prime.

Together with 51017471531311, 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 (51017471531399) 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, 25508735765654 + 25508735765655.

It is an arithmetic number, because the mean of its divisors is an integer number (25508735765655).

Almost surely, 2^{51017471531309} is an apocalyptic number.

It is an amenable number.

51017471531309 is a deficient number, since it is larger than the sum of its proper divisors (1).

51017471531309 is an equidigital number, since it uses as much as digits as its factorization.

51017471531309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 396900, while the sum is 47.

The spelling of 51017471531309 in words is "fifty-one trillion, seventeen billion, four hundred seventy-one million, five hundred thirty-one thousand, three hundred nine".