82481237710381 has 2 divisors, whose sum is σ = 82481237710382. Its totient is φ = 82481237710380.

The previous prime is 82481237710379. The next prime is 82481237710441. The reversal of 82481237710381 is 18301773218428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55769395987881 + 26711841722500 = 7467891^2 + 5168350^2 .

It is a cyclic number.

It is not a de Polignac number, because 82481237710381 - 2¹ = 82481237710379 is a prime.

It is a super-2 number, since 2×82481237710381² (a number of 29 digits) contains 22 as substring.

Together with 82481237710379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82481237710321) 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, 41240618855190 + 41240618855191.

It is an arithmetic number, because the mean of its divisors is an integer number (41240618855191).

Almost surely, 2^{82481237710381} is an apocalyptic number.

It is an amenable number.

82481237710381 is a deficient number, since it is larger than the sum of its proper divisors (1).

82481237710381 is an equidigital number, since it uses as much as digits as its factorization.

82481237710381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3612672, while the sum is 55.

The spelling of 82481237710381 in words is "eighty-two trillion, four hundred eighty-one billion, two hundred thirty-seven million, seven hundred ten thousand, three hundred eighty-one".