81380706606193 has 2 divisors, whose sum is σ = 81380706606194. Its totient is φ = 81380706606192.

The previous prime is 81380706606131. The next prime is 81380706606253. The reversal of 81380706606193 is 39160660708318.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52402208889969 + 28978497716224 = 7238937^2 + 5383168^2 .

It is a cyclic number.

It is not a de Polignac number, because 81380706606193 - 2⁴¹ = 79181683350641 is a prime.

It is not a weakly prime, because it can be changed into another prime (81380706603193) 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, 40690353303096 + 40690353303097.

It is an arithmetic number, because the mean of its divisors is an integer number (40690353303097).

Almost surely, 2^{81380706606193} is an apocalyptic number.

It is an amenable number.

81380706606193 is a deficient number, since it is larger than the sum of its proper divisors (1).

81380706606193 is an equidigital number, since it uses as much as digits as its factorization.

81380706606193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 81380706606193 in words is "eighty-one trillion, three hundred eighty billion, seven hundred six million, six hundred six thousand, one hundred ninety-three".