82588000631 has 2 divisors, whose sum is σ = 82588000632. Its totient is φ = 82588000630.

The previous prime is 82588000541. The next prime is 82588000633. The reversal of 82588000631 is 13600088528.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82588000631 is a prime.

It is a super-2 number, since 2×82588000631² (a number of 23 digits) contains 22 as substring.

Together with 82588000633, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82588000633) 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, 41294000315 + 41294000316.

It is an arithmetic number, because the mean of its divisors is an integer number (41294000316).

Almost surely, 2^82588000631 is an apocalyptic number.

82588000631 is a deficient number, since it is larger than the sum of its proper divisors (1).

82588000631 is an equidigital number, since it uses as much as digits as its factorization.

82588000631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 82588000631 in words is "eighty-two billion, five hundred eighty-eight million, six hundred thirty-one", and thus it is an aban number.