820300082593 has 2 divisors, whose sum is σ = 820300082594. Its totient is φ = 820300082592.

The previous prime is 820300082531. The next prime is 820300082603. The reversal of 820300082593 is 395280003028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 749526525504 + 70773557089 = 865752^2 + 266033^2 .

It is a cyclic number.

It is not a de Polignac number, because 820300082593 - 2⁹ = 820300082081 is a prime.

It is not a weakly prime, because it can be changed into another prime (820300082893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410150041296 + 410150041297.

It is an arithmetic number, because the mean of its divisors is an integer number (410150041297).

Almost surely, 2^820300082593 is an apocalyptic number.

It is an amenable number.

820300082593 is a deficient number, since it is larger than the sum of its proper divisors (1).

820300082593 is an equidigital number, since it uses as much as digits as its factorization.

820300082593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 820300082593 in words is "eight hundred twenty billion, three hundred million, eighty-two thousand, five hundred ninety-three".