82788586261 has 2 divisors, whose sum is σ = 82788586262. Its totient is φ = 82788586260.

The previous prime is 82788586259. The next prime is 82788586291. The reversal of 82788586261 is 16268588728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60324272100 + 22464314161 = 245610^2 + 149881^2 .

It is a cyclic number.

It is not a de Polignac number, because 82788586261 - 2¹ = 82788586259 is a prime.

Together with 82788586259, 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 82788586261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82788586291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41394293130 + 41394293131.

It is an arithmetic number, because the mean of its divisors is an integer number (41394293131).

Almost surely, 2^82788586261 is an apocalyptic number.

It is an amenable number.

82788586261 is a deficient number, since it is larger than the sum of its proper divisors (1).

82788586261 is an equidigital number, since it uses as much as digits as its factorization.

82788586261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20643840, while the sum is 61.

The spelling of 82788586261 in words is "eighty-two billion, seven hundred eighty-eight million, five hundred eighty-six thousand, two hundred sixty-one".