575589006721 has 2 divisors, whose sum is σ = 575589006722. Its totient is φ = 575589006720.

The previous prime is 575589006673. The next prime is 575589006737. The reversal of 575589006721 is 127600985575.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 508888196496 + 66700810225 = 713364^2 + 258265^2 .

It is a cyclic number.

It is not a de Polignac number, because 575589006721 - 2¹¹ = 575589004673 is a prime.

It is not a weakly prime, because it can be changed into another prime (575589006781) 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, 287794503360 + 287794503361.

It is an arithmetic number, because the mean of its divisors is an integer number (287794503361).

Almost surely, 2^575589006721 is an apocalyptic number.

It is an amenable number.

575589006721 is a deficient number, since it is larger than the sum of its proper divisors (1).

575589006721 is an equidigital number, since it uses as much as digits as its factorization.

575589006721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292000, while the sum is 55.

The spelling of 575589006721 in words is "five hundred seventy-five billion, five hundred eighty-nine million, six thousand, seven hundred twenty-one".