10611606961 has 2 divisors, whose sum is σ = 10611606962. Its totient is φ = 10611606960.

The previous prime is 10611606953. The next prime is 10611606997. The reversal of 10611606961 is 16960611601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7951110561 + 2660496400 = 89169^2 + 51580^2 .

It is an emirp because it is prime and its reverse (16960611601) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19690911901 and 10911909691.

It is a cyclic number.

It is not a de Polignac number, because 10611606961 - 2³ = 10611606953 is a prime.

It is a super-2 number, since 2×10611606961² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10611606961.

It is not a weakly prime, because it can be changed into another prime (10611606461) 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, 5305803480 + 5305803481.

It is an arithmetic number, because the mean of its divisors is an integer number (5305803481).

Almost surely, 2^10611606961 is an apocalyptic number.

It is an amenable number.

10611606961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10611606961 is an equidigital number, since it uses as much as digits as its factorization.

10611606961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 10611606961 in words is "ten billion, six hundred eleven million, six hundred six thousand, nine hundred sixty-one".