10061564968009 has 27 divisors (see below), whose sum is σ = 10378620213087. Its totient is φ = 9754119158784.

The previous prime is 10061564968003. The next prime is 10061564968139. The reversal of 10061564968009 is 90086946516001.

The square root of 10061564968009 is 3171997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 8886569671225 + 1174995296784 = 2981035^2 + 1083972^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10061564968009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10061564968003) 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 26 ways as a sum of consecutive naturals, for example, 16307236269 + ... + 16307236885.

Almost surely, 2^{10061564968009} is an apocalyptic number.

10061564968009 is the 3171997-th square number.

10061564968009 is the 1585999-th centered octagonal number.

It is an amenable number.

10061564968009 is a deficient number, since it is larger than the sum of its proper divisors (317055245078).

10061564968009 is an frugal number, since it uses more digits than its factorization.

10061564968009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 10061564968009 in words is "ten trillion, sixty-one billion, five hundred sixty-four million, nine hundred sixty-eight thousand, nine".