8100065761 has 2 divisors, whose sum is σ = 8100065762. Its totient is φ = 8100065760.

The previous prime is 8100065759. The next prime is 8100065773. The reversal of 8100065761 is 1675600018.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7384824225 + 715241536 = 85935^2 + 26744^2 .

It is a cyclic number.

It is not a de Polignac number, because 8100065761 - 2¹ = 8100065759 is a prime.

It is a super-2 number, since 2×8100065761² (a number of 21 digits) contains 22 as substring.

Together with 8100065759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (8100035761) 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, 4050032880 + 4050032881.

It is an arithmetic number, because the mean of its divisors is an integer number (4050032881).

Almost surely, 2^8100065761 is an apocalyptic number.

It is an amenable number.

8100065761 is a deficient number, since it is larger than the sum of its proper divisors (1).

8100065761 is an equidigital number, since it uses as much as digits as its factorization.

8100065761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 8100065761 is about 90000.3653381474. The cubic root of 8100065761 is about 2008.3042851182.

Adding to 8100065761 its reverse (1675600018), we get a palindrome (9775665779).

The spelling of 8100065761 in words is "eight billion, one hundred million, sixty-five thousand, seven hundred sixty-one".