82588000673 has 2 divisors, whose sum is σ = 82588000674. Its totient is φ = 82588000672.

The previous prime is 82588000633. The next prime is 82588000681. The reversal of 82588000673 is 37600088528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54024634624 + 28563366049 = 232432^2 + 169007^2 .

It is a cyclic number.

It is not a de Polignac number, because 82588000673 - 2¹⁴ = 82587984289 is a prime.

It is not a weakly prime, because it can be changed into another prime (82588000633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41294000336 + 41294000337.

It is an arithmetic number, because the mean of its divisors is an integer number (41294000337).

Almost surely, 2^82588000673 is an apocalyptic number.

It is an amenable number.

82588000673 is a deficient number, since it is larger than the sum of its proper divisors (1).

82588000673 is an equidigital number, since it uses as much as digits as its factorization.

82588000673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 82588000673 in words is "eighty-two billion, five hundred eighty-eight million, six hundred seventy-three", and thus it is an aban number.