51711466126409 has 2 divisors, whose sum is σ = 51711466126410. Its totient is φ = 51711466126408.

The previous prime is 51711466126361. The next prime is 51711466126427. The reversal of 51711466126409 is 90462166411715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51391191625225 + 320274501184 = 7168765^2 + 565928^2 .

It is a cyclic number.

It is not a de Polignac number, because 51711466126409 - 2⁴⁴ = 34119280081993 is a prime.

It is not a weakly prime, because it can be changed into another prime (51711466126109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25855733063204 + 25855733063205.

It is an arithmetic number, because the mean of its divisors is an integer number (25855733063205).

Almost surely, 2^{51711466126409} is an apocalyptic number.

It is an amenable number.

51711466126409 is a deficient number, since it is larger than the sum of its proper divisors (1).

51711466126409 is an equidigital number, since it uses as much as digits as its factorization.

51711466126409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 51711466126409 in words is "fifty-one trillion, seven hundred eleven billion, four hundred sixty-six million, one hundred twenty-six thousand, four hundred nine".