10610116961 has 2 divisors, whose sum is σ = 10610116962. Its totient is φ = 10610116960.

The previous prime is 10610116939. The next prime is 10610117057. The reversal of 10610116961 is 16961101601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9274653025 + 1335463936 = 96305^2 + 36544^2 .

It is an emirp because it is prime and its reverse (16961101601) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19691101901 and 10910119691.

It is a cyclic number.

It is not a de Polignac number, because 10610116961 - 2³⁰ = 9536375137 is a prime.

It is a super-2 number, since 2×10610116961² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10610116921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5305058480 + 5305058481.

It is an arithmetic number, because the mean of its divisors is an integer number (5305058481).

Almost surely, 2^10610116961 is an apocalyptic number.

It is an amenable number.

10610116961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10610116961 is an equidigital number, since it uses as much as digits as its factorization.

10610116961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 10610116961 in words is "ten billion, six hundred ten million, one hundred sixteen thousand, nine hundred sixty-one".