82813890361201 has 2 divisors, whose sum is σ = 82813890361202. Its totient is φ = 82813890361200.

The previous prime is 82813890361157. The next prime is 82813890361207. The reversal of 82813890361201 is 10216309831828.

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., 71845712154225 + 10968178206976 = 8476185^2 + 3311824^2 .

It is a cyclic number.

It is not a de Polignac number, because 82813890361201 - 2⁴¹ = 80614867105649 is a prime.

It is not a weakly prime, because it can be changed into another prime (82813890361207) 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, 41406945180600 + 41406945180601.

It is an arithmetic number, because the mean of its divisors is an integer number (41406945180601).

Almost surely, 2^{82813890361201} is an apocalyptic number.

It is an amenable number.

82813890361201 is a deficient number, since it is larger than the sum of its proper divisors (1).

82813890361201 is an equidigital number, since it uses as much as digits as its factorization.

82813890361201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 82813890361201 in words is "eighty-two trillion, eight hundred thirteen billion, eight hundred ninety million, three hundred sixty-one thousand, two hundred one".