61981983122341 has 2 divisors, whose sum is σ = 61981983122342. Its totient is φ = 61981983122340.

The previous prime is 61981983122327. The next prime is 61981983122413. The reversal of 61981983122341 is 14322138918916.

61981983122341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (61981983122413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32754216996900 + 29227766125441 = 5723130^2 + 5406271^2 .

It is a cyclic number.

It is not a de Polignac number, because 61981983122341 - 2¹¹ = 61981983120293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61981983126341) 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, 30990991561170 + 30990991561171.

It is an arithmetic number, because the mean of its divisors is an integer number (30990991561171).

Almost surely, 2^{61981983122341} is an apocalyptic number.

It is an amenable number.

61981983122341 is a deficient number, since it is larger than the sum of its proper divisors (1).

61981983122341 is an equidigital number, since it uses as much as digits as its factorization.

61981983122341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4478976, while the sum is 58.

The spelling of 61981983122341 in words is "sixty-one trillion, nine hundred eighty-one billion, nine hundred eighty-three million, one hundred twenty-two thousand, three hundred forty-one".