10605559961 has 2 divisors, whose sum is σ = 10605559962. Its totient is φ = 10605559960.

The previous prime is 10605559907. The next prime is 10605559997. The reversal of 10605559961 is 16995550601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10407876361 + 197683600 = 102019^2 + 14060^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605559961 - 2¹⁰ = 10605558937 is a prime.

It is a super-3 number, since 3×10605559961³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10605559661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302779980 + 5302779981.

It is an arithmetic number, because the mean of its divisors is an integer number (5302779981).

Almost surely, 2^10605559961 is an apocalyptic number.

It is an amenable number.

10605559961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605559961 is an equidigital number, since it uses as much as digits as its factorization.

10605559961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 364500, while the sum is 47.

The spelling of 10605559961 in words is "ten billion, six hundred five million, five hundred fifty-nine thousand, nine hundred sixty-one".