82345681010573 has 2 divisors, whose sum is σ = 82345681010574. Its totient is φ = 82345681010572.

The previous prime is 82345681010521. The next prime is 82345681010609. The reversal of 82345681010573 is 37501018654328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62651372528644 + 19694308481929 = 7915262^2 + 4437827^2 .

It is a cyclic number.

It is not a de Polignac number, because 82345681010573 - 2⁸ = 82345681010317 is a prime.

It is a super-2 number, since 2×82345681010573² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82345681013573) 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, 41172840505286 + 41172840505287.

It is an arithmetic number, because the mean of its divisors is an integer number (41172840505287).

Almost surely, 2^{82345681010573} is an apocalyptic number.

It is an amenable number.

82345681010573 is a deficient number, since it is larger than the sum of its proper divisors (1).

82345681010573 is an equidigital number, since it uses as much as digits as its factorization.

82345681010573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 82345681010573 in words is "eighty-two trillion, three hundred forty-five billion, six hundred eighty-one million, ten thousand, five hundred seventy-three".