61116370748417 has 2 divisors, whose sum is σ = 61116370748418. Its totient is φ = 61116370748416.

The previous prime is 61116370748401. The next prime is 61116370748449. The reversal of 61116370748417 is 71484707361116.

It is a Cunningham number, because it is equal to 7817696²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61116370748416 + 1 = 7817696^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 61116370748417 - 2⁴ = 61116370748401 is a prime.

It is a super-2 number, since 2×61116370748417² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61116370768417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30558185374208 + 30558185374209.

It is an arithmetic number, because the mean of its divisors is an integer number (30558185374209).

Almost surely, 2^{61116370748417} is an apocalyptic number.

It is an amenable number.

61116370748417 is a deficient number, since it is larger than the sum of its proper divisors (1).

61116370748417 is an equidigital number, since it uses as much as digits as its factorization.

61116370748417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4741632, while the sum is 56.

The spelling of 61116370748417 in words is "sixty-one trillion, one hundred sixteen billion, three hundred seventy million, seven hundred forty-eight thousand, four hundred seventeen".