4105316561 has 2 divisors, whose sum is σ = 4105316562. Its totient is φ = 4105316560.

The previous prime is 4105316543. The next prime is 4105316563. The reversal of 4105316561 is 1656135014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3285582400 + 819734161 = 57320^2 + 28631^2 .

It is a cyclic number.

It is not a de Polignac number, because 4105316561 - 2¹⁸ = 4105054417 is a prime.

Together with 4105316563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4105316563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2052658280 + 2052658281.

It is an arithmetic number, because the mean of its divisors is an integer number (2052658281).

Almost surely, 2^4105316561 is an apocalyptic number.

It is an amenable number.

4105316561 is a deficient number, since it is larger than the sum of its proper divisors (1).

4105316561 is an equidigital number, since it uses as much as digits as its factorization.

4105316561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 4105316561 is about 64072.7442911571. The cubic root of 4105316561 is about 1601.2121752927.

The spelling of 4105316561 in words is "four billion, one hundred five million, three hundred sixteen thousand, five hundred sixty-one".