82072508593 has 2 divisors, whose sum is σ = 82072508594. Its totient is φ = 82072508592.

The previous prime is 82072508533. The next prime is 82072508611. The reversal of 82072508593 is 39580527028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81502827169 + 569681424 = 285487^2 + 23868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82072508593 is a prime.

It is not a weakly prime, because it can be changed into another prime (82072508533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41036254296 + 41036254297.

It is an arithmetic number, because the mean of its divisors is an integer number (41036254297).

Almost surely, 2^82072508593 is an apocalyptic number.

It is an amenable number.

82072508593 is a deficient number, since it is larger than the sum of its proper divisors (1).

82072508593 is an equidigital number, since it uses as much as digits as its factorization.

82072508593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 82072508593 in words is "eighty-two billion, seventy-two million, five hundred eight thousand, five hundred ninety-three".