581812661201 has 2 divisors, whose sum is σ = 581812661202. Its totient is φ = 581812661200.

The previous prime is 581812661167. The next prime is 581812661231. The reversal of 581812661201 is 102166218185.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 441326376976 + 140486284225 = 664324^2 + 374815^2 .

It is a cyclic number.

It is not a de Polignac number, because 581812661201 - 2⁶ = 581812661137 is a prime.

It is a super-2 number, since 2×581812661201² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (581812661231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290906330600 + 290906330601.

It is an arithmetic number, because the mean of its divisors is an integer number (290906330601).

Almost surely, 2^581812661201 is an apocalyptic number.

It is an amenable number.

581812661201 is a deficient number, since it is larger than the sum of its proper divisors (1).

581812661201 is an equidigital number, since it uses as much as digits as its factorization.

581812661201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 41.

Adding to 581812661201 its reverse (102166218185), we get a palindrome (683978879386).

The spelling of 581812661201 in words is "five hundred eighty-one billion, eight hundred twelve million, six hundred sixty-one thousand, two hundred one".