51351531337289 has 2 divisors, whose sum is σ = 51351531337290. Its totient is φ = 51351531337288.

The previous prime is 51351531337279. The next prime is 51351531337291. The reversal of 51351531337289 is 98273313515315.

51351531337289 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., 47854227405625 + 3497303931664 = 6917675^2 + 1870108^2 .

It is a cyclic number.

It is not a de Polignac number, because 51351531337289 - 2³² = 51347236369993 is a prime.

Together with 51351531337291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51351531337229) 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, 25675765668644 + 25675765668645.

It is an arithmetic number, because the mean of its divisors is an integer number (25675765668645).

Almost surely, 2^{51351531337289} is an apocalyptic number.

It is an amenable number.

51351531337289 is a deficient number, since it is larger than the sum of its proper divisors (1).

51351531337289 is an equidigital number, since it uses as much as digits as its factorization.

51351531337289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206000, while the sum is 56.

The spelling of 51351531337289 in words is "fifty-one trillion, three hundred fifty-one billion, five hundred thirty-one million, three hundred thirty-seven thousand, two hundred eighty-nine".