61120819918097 has 2 divisors, whose sum is σ = 61120819918098. Its totient is φ = 61120819918096.

The previous prime is 61120819918049. The next prime is 61120819918111. The reversal of 61120819918097 is 79081991802116.

It is a happy number.

61120819918097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60872592763921 + 248227154176 = 7802089^2 + 498224^2 .

It is a cyclic number.

It is not a de Polignac number, because 61120819918097 - 2⁶ = 61120819918033 is a prime.

It is not a weakly prime, because it can be changed into another prime (61120819218097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30560409959048 + 30560409959049.

It is an arithmetic number, because the mean of its divisors is an integer number (30560409959049).

Almost surely, 2^{61120819918097} is an apocalyptic number.

It is an amenable number.

61120819918097 is a deficient number, since it is larger than the sum of its proper divisors (1).

61120819918097 is an equidigital number, since it uses as much as digits as its factorization.

61120819918097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 62.

The spelling of 61120819918097 in words is "sixty-one trillion, one hundred twenty billion, eight hundred nineteen million, nine hundred eighteen thousand, ninety-seven".