61010005605161 has 2 divisors, whose sum is σ = 61010005605162. Its totient is φ = 61010005605160.

The previous prime is 61010005605151. The next prime is 61010005605163. The reversal of 61010005605161 is 16150650001016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60154667331136 + 855338274025 = 7755944^2 + 924845^2 .

It is a cyclic number.

It is not a de Polignac number, because 61010005605161 - 2¹⁸ = 61010005343017 is a prime.

Together with 61010005605163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (61010005605163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30505002802580 + 30505002802581.

It is an arithmetic number, because the mean of its divisors is an integer number (30505002802581).

Almost surely, 2^{61010005605161} is an apocalyptic number.

It is an amenable number.

61010005605161 is a deficient number, since it is larger than the sum of its proper divisors (1).

61010005605161 is an equidigital number, since it uses as much as digits as its factorization.

61010005605161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 32.

Adding to 61010005605161 its reverse (16150650001016), we get a palindrome (77160655606177).

The spelling of 61010005605161 in words is "sixty-one trillion, ten billion, five million, six hundred five thousand, one hundred sixty-one".