61736609797601 has 2 divisors, whose sum is σ = 61736609797602. Its totient is φ = 61736609797600.

The previous prime is 61736609797591. The next prime is 61736609797697. The reversal of 61736609797601 is 10679790663716.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33494878450576 + 28241731347025 = 5787476^2 + 5314295^2 .

It is a cyclic number.

It is not a de Polignac number, because 61736609797601 - 2⁶ = 61736609797537 is a prime.

It is a super-2 number, since 2×61736609797601² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61736609797001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30868304898800 + 30868304898801.

It is an arithmetic number, because the mean of its divisors is an integer number (30868304898801).

Almost surely, 2^{61736609797601} is an apocalyptic number.

It is an amenable number.

61736609797601 is a deficient number, since it is larger than the sum of its proper divisors (1).

61736609797601 is an equidigital number, since it uses as much as digits as its factorization.

61736609797601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108020304, while the sum is 68.

The spelling of 61736609797601 in words is "sixty-one trillion, seven hundred thirty-six billion, six hundred nine million, seven hundred ninety-seven thousand, six hundred one".