82663145263661 has 2 divisors, whose sum is σ = 82663145263662. Its totient is φ = 82663145263660.

The previous prime is 82663145263631. The next prime is 82663145263663. The reversal of 82663145263661 is 16636254136628.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55756163670025 + 26906981593636 = 7467005^2 + 5187194^2 .

It is a cyclic number.

It is not a de Polignac number, because 82663145263661 - 2³⁴ = 82645965394477 is a prime.

It is a super-2 number, since 2×82663145263661² (a number of 29 digits) contains 22 as substring.

Together with 82663145263663, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82663145263661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82663145263663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41331572631830 + 41331572631831.

It is an arithmetic number, because the mean of its divisors is an integer number (41331572631831).

Almost surely, 2^{82663145263661} is an apocalyptic number.

It is an amenable number.

82663145263661 is a deficient number, since it is larger than the sum of its proper divisors (1).

82663145263661 is an equidigital number, since it uses as much as digits as its factorization.

82663145263661 is an evil number, because the sum of its binary digits is even.

The product of its digits is 44789760, while the sum is 59.

The spelling of 82663145263661 in words is "eighty-two trillion, six hundred sixty-three billion, one hundred forty-five million, two hundred sixty-three thousand, six hundred sixty-one".