2245277800097 has 2 divisors, whose sum is σ = 2245277800098. Its totient is φ = 2245277800096.

The previous prime is 2245277800037. The next prime is 2245277800153. The reversal of 2245277800097 is 7900087725422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2210383933696 + 34893866401 = 1486736^2 + 186799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2245277800097 - 2¹⁰ = 2245277799073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2245277800037) 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, 1122638900048 + 1122638900049.

It is an arithmetic number, because the mean of its divisors is an integer number (1122638900049).

Almost surely, 2^{2245277800097} is an apocalyptic number.

It is an amenable number.

2245277800097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2245277800097 is an equidigital number, since it uses as much as digits as its factorization.

2245277800097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 2245277800097 in words is "two trillion, two hundred forty-five billion, two hundred seventy-seven million, eight hundred thousand, ninety-seven".