83824543786601 has 2 divisors, whose sum is σ = 83824543786602. Its totient is φ = 83824543786600.

The previous prime is 83824543786541. The next prime is 83824543786609. The reversal of 83824543786601 is 10668734542838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43783047999376 + 40041495787225 = 6616876^2 + 6327835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83824543786601 is a prime.

It is not a weakly prime, because it can be changed into another prime (83824543786609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41912271893300 + 41912271893301.

It is an arithmetic number, because the mean of its divisors is an integer number (41912271893301).

Almost surely, 2^{83824543786601} is an apocalyptic number.

It is an amenable number.

83824543786601 is a deficient number, since it is larger than the sum of its proper divisors (1).

83824543786601 is an equidigital number, since it uses as much as digits as its factorization.

83824543786601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 185794560, while the sum is 65.

The spelling of 83824543786601 in words is "eighty-three trillion, eight hundred twenty-four billion, five hundred forty-three million, seven hundred eighty-six thousand, six hundred one".