65574205749137 has 2 divisors, whose sum is σ = 65574205749138. Its totient is φ = 65574205749136.

The previous prime is 65574205749071. The next prime is 65574205749209. The reversal of 65574205749137 is 73194750247556.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52767570128641 + 12806635620496 = 7264129^2 + 3578636^2 .

It is a cyclic number.

It is not a de Polignac number, because 65574205749137 - 2²² = 65574201554833 is a prime.

It is not a weakly prime, because it can be changed into another prime (65574205749037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32787102874568 + 32787102874569.

It is an arithmetic number, because the mean of its divisors is an integer number (32787102874569).

Almost surely, 2^{65574205749137} is an apocalyptic number.

It is an amenable number.

65574205749137 is a deficient number, since it is larger than the sum of its proper divisors (1).

65574205749137 is an equidigital number, since it uses as much as digits as its factorization.

65574205749137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 222264000, while the sum is 65.

The spelling of 65574205749137 in words is "sixty-five trillion, five hundred seventy-four billion, two hundred five million, seven hundred forty-nine thousand, one hundred thirty-seven".