10005811061 has 2 divisors, whose sum is σ = 10005811062. Its totient is φ = 10005811060.

The previous prime is 10005811031. The next prime is 10005811063. The reversal of 10005811061 is 16011850001.

It is a happy number.

10005811061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6987956836 + 3017854225 = 83594^2 + 54935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005811061 is a prime.

It is a super-3 number, since 3×10005811061³ (a number of 31 digits) contains 333 as substring.

Together with 10005811063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005811063) 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, 5002905530 + 5002905531.

It is an arithmetic number, because the mean of its divisors is an integer number (5002905531).

Almost surely, 2^10005811061 is an apocalyptic number.

It is an amenable number.

10005811061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005811061 is an equidigital number, since it uses as much as digits as its factorization.

10005811061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 23.

The spelling of 10005811061 in words is "ten billion, five million, eight hundred eleven thousand, sixty-one".