20581365017 has 2 divisors, whose sum is σ = 20581365018. Its totient is φ = 20581365016.

The previous prime is 20581364983. The next prime is 20581365043. The reversal of 20581365017 is 71056318502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15751254016 + 4830111001 = 125504^2 + 69499^2 .

It is a cyclic number.

It is not a de Polignac number, because 20581365017 - 2¹⁰ = 20581363993 is a prime.

It is not a weakly prime, because it can be changed into another prime (20581365097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10290682508 + 10290682509.

It is an arithmetic number, because the mean of its divisors is an integer number (10290682509).

Almost surely, 2^20581365017 is an apocalyptic number.

It is an amenable number.

20581365017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20581365017 is an equidigital number, since it uses as much as digits as its factorization.

20581365017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 20581365017 in words is "twenty billion, five hundred eighty-one million, three hundred sixty-five thousand, seventeen".