8100065961 has 32 divisors (see below), whose sum is σ = 13223745920. Its totient is φ = 4868724672.

The previous prime is 8100065947. The next prime is 8100065983. The reversal of 8100065961 is 1695600018.

It is not a de Polignac number, because 8100065961 - 2⁷ = 8100065833 is a prime.

It is a super-2 number, since 2×8100065961² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8100065761) 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 in 31 ways as a sum of consecutive naturals, for example, 253246 + ... + 283431.

It is an arithmetic number, because the mean of its divisors is an integer number (413242060).

Almost surely, 2^8100065961 is an apocalyptic number.

It is an amenable number.

8100065961 is a deficient number, since it is larger than the sum of its proper divisors (5123679959).

8100065961 is a wasteful number, since it uses less digits than its factorization.

8100065961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536742 (or 536736 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8100065961 is about 90000.3664492540. The cubic root of 8100065961 is about 2008.3043016474.

Adding to 8100065961 its reverse (1695600018), we get a palindrome (9795665979).

The spelling of 8100065961 in words is "eight billion, one hundred million, sixty-five thousand, nine hundred sixty-one".