82565266205 has 16 divisors (see below), whose sum is σ = 108523923120. Its totient is φ = 60023104512.

The previous prime is 82565266141. The next prime is 82565266211. The reversal of 82565266205 is 50266256528.

It can be written as a sum of positive squares in 8 ways, for example, as 14618502649 + 67946763556 = 120907^2 + 260666^2 .

It is a cyclic number.

It is not a de Polignac number, because 82565266205 - 2⁶ = 82565266141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82565266205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16745054 + ... + 16749983.

It is an arithmetic number, because the mean of its divisors is an integer number (6782745195).

Almost surely, 2^82565266205 is an apocalyptic number.

82565266205 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82565266205 is a deficient number, since it is larger than the sum of its proper divisors (25958656915).

82565266205 is a wasteful number, since it uses less digits than its factorization.

82565266205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33495088.

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 82565266205 in words is "eighty-two billion, five hundred sixty-five million, two hundred sixty-six thousand, two hundred five".