82410605993 has 2 divisors, whose sum is σ = 82410605994. Its totient is φ = 82410605992.

The previous prime is 82410605983. The next prime is 82410605999. The reversal of 82410605993 is 39950601428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71988646249 + 10421959744 = 268307^2 + 102088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82410605993 is a prime.

It is a super-3 number, since 3×82410605993³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82410605999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41205302996 + 41205302997.

It is an arithmetic number, because the mean of its divisors is an integer number (41205302997).

Almost surely, 2^82410605993 is an apocalyptic number.

It is an amenable number.

82410605993 is a deficient number, since it is larger than the sum of its proper divisors (1).

82410605993 is an equidigital number, since it uses as much as digits as its factorization.

82410605993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 47.

The spelling of 82410605993 in words is "eighty-two billion, four hundred ten million, six hundred five thousand, nine hundred ninety-three".