82569264769 has 2 divisors, whose sum is σ = 82569264770. Its totient is φ = 82569264768.

The previous prime is 82569264721. The next prime is 82569264781. The reversal of 82569264769 is 96746296528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62268714369 + 20300550400 = 249537^2 + 142480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82569264769 is a prime.

It is a super-3 number, since 3×82569264769³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 82569264769.

It is not a weakly prime, because it can be changed into another prime (82569264719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41284632384 + 41284632385.

It is an arithmetic number, because the mean of its divisors is an integer number (41284632385).

Almost surely, 2^82569264769 is an apocalyptic number.

It is an amenable number.

82569264769 is a deficient number, since it is larger than the sum of its proper divisors (1).

82569264769 is an equidigital number, since it uses as much as digits as its factorization.

82569264769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 78382080, while the sum is 64.

The spelling of 82569264769 in words is "eighty-two billion, five hundred sixty-nine million, two hundred sixty-four thousand, seven hundred sixty-nine".