61736609797697 has 2 divisors, whose sum is σ = 61736609797698. Its totient is φ = 61736609797696.

The previous prime is 61736609797601. The next prime is 61736609797717. The reversal of 61736609797697 is 79679790663716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57290230278961 + 4446379518736 = 7569031^2 + 2108644^2 .

It is a cyclic number.

It is not a de Polignac number, because 61736609797697 - 2¹² = 61736609793601 is a prime.

It is a super-2 number, since 2×61736609797697² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61736609797397) 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, 30868304898848 + 30868304898849.

It is an arithmetic number, because the mean of its divisors is an integer number (30868304898849).

Almost surely, 2^{61736609797697} is an apocalyptic number.

It is an amenable number.

61736609797697 is a deficient number, since it is larger than the sum of its proper divisors (1).

61736609797697 is an equidigital number, since it uses as much as digits as its factorization.

61736609797697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6805279152, while the sum is 83.

The spelling of 61736609797697 in words is "sixty-one trillion, seven hundred thirty-six billion, six hundred nine million, seven hundred ninety-seven thousand, six hundred ninety-seven".