508221261137 has 2 divisors, whose sum is σ = 508221261138. Its totient is φ = 508221261136.

The previous prime is 508221261077. The next prime is 508221261143. The reversal of 508221261137 is 731162122805.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 264097321216 + 244123939921 = 513904^2 + 494089^2 .

It is a cyclic number.

It is not a de Polignac number, because 508221261137 - 2⁸ = 508221260881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 508221261137.

It is not a weakly prime, because it can be changed into another prime (508221251137) 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, 254110630568 + 254110630569.

It is an arithmetic number, because the mean of its divisors is an integer number (254110630569).

Almost surely, 2^508221261137 is an apocalyptic number.

It is an amenable number.

508221261137 is a deficient number, since it is larger than the sum of its proper divisors (1).

508221261137 is an equidigital number, since it uses as much as digits as its factorization.

508221261137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 508221261137 in words is "five hundred eight billion, two hundred twenty-one million, two hundred sixty-one thousand, one hundred thirty-seven".