10000009961 has 2 divisors, whose sum is σ = 10000009962. Its totient is φ = 10000009960.

The previous prime is 10000009951. The next prime is 10000009973. The reversal of 10000009961 is 16990000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7101264361 + 2898745600 = 84269^2 + 53840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000009961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000009961.

It is not a weakly prime, because it can be changed into another prime (10000009931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000004980 + 5000004981.

It is an arithmetic number, because the mean of its divisors is an integer number (5000004981).

Almost surely, 2^10000009961 is an apocalyptic number.

It is an amenable number.

10000009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000009961 is an equidigital number, since it uses as much as digits as its factorization.

10000009961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

Adding to 10000009961 its reverse (16990000001), we get a palindrome (26990009962).

The spelling of 10000009961 in words is "ten billion, nine thousand, nine hundred sixty-one".