82611346241 has 2 divisors, whose sum is σ = 82611346242. Its totient is φ = 82611346240.

The previous prime is 82611346151. The next prime is 82611346289. The reversal of 82611346241 is 14264311628.

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., 80582744641 + 2028601600 = 283871^2 + 45040^2 .

It is a cyclic number.

It is not a de Polignac number, because 82611346241 - 2³⁰ = 81537604417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82611346195 and 82611346204.

It is not a weakly prime, because it can be changed into another prime (82611342241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41305673120 + 41305673121.

It is an arithmetic number, because the mean of its divisors is an integer number (41305673121).

Almost surely, 2^82611346241 is an apocalyptic number.

It is an amenable number.

82611346241 is a deficient number, since it is larger than the sum of its proper divisors (1).

82611346241 is an equidigital number, since it uses as much as digits as its factorization.

82611346241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55296, while the sum is 38.

Adding to 82611346241 its reverse (14264311628), we get a palindrome (96875657869).

The spelling of 82611346241 in words is "eighty-two billion, six hundred eleven million, three hundred forty-six thousand, two hundred forty-one".