82640440821313 has 2 divisors, whose sum is σ = 82640440821314. Its totient is φ = 82640440821312.

The previous prime is 82640440821307. The next prime is 82640440821343. The reversal of 82640440821313 is 31312804404628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73938106020529 + 8702334800784 = 8598727^2 + 2949972^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82640440821313 is a prime.

It is not a weakly prime, because it can be changed into another prime (82640440821343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41320220410656 + 41320220410657.

It is an arithmetic number, because the mean of its divisors is an integer number (41320220410657).

Almost surely, 2^{82640440821313} is an apocalyptic number.

It is an amenable number.

82640440821313 is a deficient number, since it is larger than the sum of its proper divisors (1).

82640440821313 is an equidigital number, since it uses as much as digits as its factorization.

82640440821313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 82640440821313 in words is "eighty-two trillion, six hundred forty billion, four hundred forty million, eight hundred twenty-one thousand, three hundred thirteen".