82348313354513 has 2 divisors, whose sum is σ = 82348313354514. Its totient is φ = 82348313354512.

The previous prime is 82348313354491. The next prime is 82348313354539. The reversal of 82348313354513 is 31545331384328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72550054887424 + 9798258467089 = 8517632^2 + 3130217^2 .

It is a cyclic number.

It is not a de Polignac number, because 82348313354513 - 2¹² = 82348313350417 is a prime.

It is not a weakly prime, because it can be changed into another prime (82348313354543) 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, 41174156677256 + 41174156677257.

It is an arithmetic number, because the mean of its divisors is an integer number (41174156677257).

Almost surely, 2^{82348313354513} is an apocalyptic number.

It is an amenable number.

82348313354513 is a deficient number, since it is larger than the sum of its proper divisors (1).

82348313354513 is an equidigital number, since it uses as much as digits as its factorization.

82348313354513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12441600, while the sum is 53.

The spelling of 82348313354513 in words is "eighty-two trillion, three hundred forty-eight billion, three hundred thirteen million, three hundred fifty-four thousand, five hundred thirteen".