51821167866289 has 2 divisors, whose sum is σ = 51821167866290. Its totient is φ = 51821167866288.

The previous prime is 51821167866277. The next prime is 51821167866301. The reversal of 51821167866289 is 98266876112815.

51821167866289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (51821167866277) and next prime (51821167866301).

It can be written as a sum of positive squares in only one way, i.e., 40037155010064 + 11784012856225 = 6327492^2 + 3432785^2 .

It is a cyclic number.

It is not a de Polignac number, because 51821167866289 - 2¹⁷ = 51821167735217 is a prime.

It is a super-2 number, since 2×51821167866289² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51821167866989) 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, 25910583933144 + 25910583933145.

It is an arithmetic number, because the mean of its divisors is an integer number (25910583933145).

Almost surely, 2^{51821167866289} is an apocalyptic number.

It is an amenable number.

51821167866289 is a deficient number, since it is larger than the sum of its proper divisors (1).

51821167866289 is an equidigital number, since it uses as much as digits as its factorization.

51821167866289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139345920, while the sum is 70.

The spelling of 51821167866289 in words is "fifty-one trillion, eight hundred twenty-one billion, one hundred sixty-seven million, eight hundred sixty-six thousand, two hundred eighty-nine".