61773567175097 has 2 divisors, whose sum is σ = 61773567175098. Its totient is φ = 61773567175096.

The previous prime is 61773567175079. The next prime is 61773567175127. The reversal of 61773567175097 is 79057176537716.

Together with previous prime (61773567175079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47957619420736 + 13815947754361 = 6925144^2 + 3716981^2 .

It is a cyclic number.

It is not a de Polignac number, because 61773567175097 - 2³⁴ = 61756387305913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61773567175097.

It is not a weakly prime, because it can be changed into another prime (61773567175037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30886783587548 + 30886783587549.

It is an arithmetic number, because the mean of its divisors is an integer number (30886783587549).

Almost surely, 2^{61773567175097} is an apocalyptic number.

It is an amenable number.

61773567175097 is a deficient number, since it is larger than the sum of its proper divisors (1).

61773567175097 is an equidigital number, since it uses as much as digits as its factorization.

61773567175097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 408410100, while the sum is 71.

The spelling of 61773567175097 in words is "sixty-one trillion, seven hundred seventy-three billion, five hundred sixty-seven million, one hundred seventy-five thousand, ninety-seven".