581151980232001 has 2 divisors, whose sum is σ = 581151980232002. Its totient is φ = 581151980232000.

The previous prime is 581151980231989. The next prime is 581151980232007. The reversal of 581151980232001 is 100232089151185.

It is a happy number.

581151980232001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319371747450625 + 261780232781376 = 17870975^2 + 16179624^2 .

It is a cyclic number.

It is not a de Polignac number, because 581151980232001 - 2¹³ = 581151980223809 is a prime.

It is not a weakly prime, because it can be changed into another prime (581151980232007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290575990116000 + 290575990116001.

It is an arithmetic number, because the mean of its divisors is an integer number (290575990116001).

Almost surely, 2^{581151980232001} is an apocalyptic number.

It is an amenable number.

581151980232001 is a deficient number, since it is larger than the sum of its proper divisors (1).

581151980232001 is an equidigital number, since it uses as much as digits as its factorization.

581151980232001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 46.

The spelling of 581151980232001 in words is "five hundred eighty-one trillion, one hundred fifty-one billion, nine hundred eighty million, two hundred thirty-two thousand, one".