82413853346141 has 2 divisors, whose sum is σ = 82413853346142. Its totient is φ = 82413853346140.

The previous prime is 82413853346093. The next prime is 82413853346147. The reversal of 82413853346141 is 14164335831428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73035038970916 + 9378814375225 = 8546054^2 + 3062485^2 .

It is a cyclic number.

It is not a de Polignac number, because 82413853346141 - 2¹⁴ = 82413853329757 is a prime.

It is a super-2 number, since 2×82413853346141² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82413853346147) 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, 41206926673070 + 41206926673071.

It is an arithmetic number, because the mean of its divisors is an integer number (41206926673071).

Almost surely, 2^{82413853346141} is an apocalyptic number.

It is an amenable number.

82413853346141 is a deficient number, since it is larger than the sum of its proper divisors (1).

82413853346141 is an equidigital number, since it uses as much as digits as its factorization.

82413853346141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6635520, while the sum is 53.

The spelling of 82413853346141 in words is "eighty-two trillion, four hundred thirteen billion, eight hundred fifty-three million, three hundred forty-six thousand, one hundred forty-one".