82588000633 has 2 divisors, whose sum is σ = 82588000634. Its totient is φ = 82588000632.

The previous prime is 82588000631. The next prime is 82588000673. The reversal of 82588000633 is 33600088528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62193875769 + 20394124864 = 249387^2 + 142808^2 .

It is a cyclic number.

It is not a de Polignac number, because 82588000633 - 2¹ = 82588000631 is a prime.

Together with 82588000631, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 82588000633.

It is not a weakly prime, because it can be changed into another prime (82588000631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41294000316 + 41294000317.

It is an arithmetic number, because the mean of its divisors is an integer number (41294000317).

Almost surely, 2^82588000633 is an apocalyptic number.

It is an amenable number.

82588000633 is a deficient number, since it is larger than the sum of its proper divisors (1).

82588000633 is an equidigital number, since it uses as much as digits as its factorization.

82588000633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 82588000633 in words is "eighty-two billion, five hundred eighty-eight million, six hundred thirty-three", and thus it is an aban number.