51731058311641 has 2 divisors, whose sum is σ = 51731058311642. Its totient is φ = 51731058311640.

The previous prime is 51731058311633. The next prime is 51731058311651. The reversal of 51731058311641 is 14611385013715.

51731058311641 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., 51247343625625 + 483714686016 = 7158725^2 + 695496^2 .

It is a cyclic number.

It is not a de Polignac number, because 51731058311641 - 2³ = 51731058311633 is a prime.

It is a super-2 number, since 2×51731058311641² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51731058311591 and 51731058311600.

It is not a weakly prime, because it can be changed into another prime (51731058311651) 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, 25865529155820 + 25865529155821.

It is an arithmetic number, because the mean of its divisors is an integer number (25865529155821).

Almost surely, 2^{51731058311641} is an apocalyptic number.

It is an amenable number.

51731058311641 is a deficient number, since it is larger than the sum of its proper divisors (1).

51731058311641 is an equidigital number, since it uses as much as digits as its factorization.

51731058311641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 51731058311641 in words is "fifty-one trillion, seven hundred thirty-one billion, fifty-eight million, three hundred eleven thousand, six hundred forty-one".