82316607054593 has 2 divisors, whose sum is σ = 82316607054594. Its totient is φ = 82316607054592.

The previous prime is 82316607054389. The next prime is 82316607054623. The reversal of 82316607054593 is 39545070661328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49596285106369 + 32720321948224 = 7042463^2 + 5720168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82316607054593 is a prime.

It is a super-3 number, since 3×82316607054593³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82316607054793) 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, 41158303527296 + 41158303527297.

It is an arithmetic number, because the mean of its divisors is an integer number (41158303527297).

It is a 1-persistent number, because it is pandigital, but 2⋅82316607054593 = 164633214109186 is not.

Almost surely, 2^{82316607054593} is an apocalyptic number.

It is an amenable number.

82316607054593 is a deficient number, since it is larger than the sum of its proper divisors (1).

82316607054593 is an equidigital number, since it uses as much as digits as its factorization.

82316607054593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32659200, while the sum is 59.

The spelling of 82316607054593 in words is "eighty-two trillion, three hundred sixteen billion, six hundred seven million, fifty-four thousand, five hundred ninety-three".