497075628868193 has 2 divisors, whose sum is σ = 497075628868194. Its totient is φ = 497075628868192.

The previous prime is 497075628868177. The next prime is 497075628868199. The reversal of 497075628868193 is 391868826570794.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374766893056609 + 122308735811584 = 19358897^2 + 11059328^2 .

It is a cyclic number.

It is not a de Polignac number, because 497075628868193 - 2⁴ = 497075628868177 is a prime.

It is not a weakly prime, because it can be changed into another prime (497075628868199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 248537814434096 + 248537814434097.

It is an arithmetic number, because the mean of its divisors is an integer number (248537814434097).

It is a 1-persistent number, because it is pandigital, but 2⋅497075628868193 = 994151257736386 is not.

Almost surely, 2^{497075628868193} is an apocalyptic number.

It is an amenable number.

497075628868193 is a deficient number, since it is larger than the sum of its proper divisors (1).

497075628868193 is an equidigital number, since it uses as much as digits as its factorization.

497075628868193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8778792960, while the sum is 83.

The spelling of 497075628868193 in words is "four hundred ninety-seven trillion, seventy-five billion, six hundred twenty-eight million, eight hundred sixty-eight thousand, one hundred ninety-three".