20085200017 has 2 divisors, whose sum is σ = 20085200018. Its totient is φ = 20085200016.

The previous prime is 20085199993. The next prime is 20085200033. The reversal of 20085200017 is 71000258002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19734911361 + 350288656 = 140481^2 + 18716^2 .

It is a cyclic number.

It is not a de Polignac number, because 20085200017 - 2¹¹ = 20085197969 is a prime.

It is a super-3 number, since 3×20085200017³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20085199964 and 20085200000.

It is not a weakly prime, because it can be changed into another prime (20085200077) 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, 10042600008 + 10042600009.

It is an arithmetic number, because the mean of its divisors is an integer number (10042600009).

Almost surely, 2^20085200017 is an apocalyptic number.

It is an amenable number.

20085200017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20085200017 is an equidigital number, since it uses as much as digits as its factorization.

20085200017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 20085200017 its reverse (71000258002), we get a palindrome (91085458019).

It can be divided in two parts, 2008 and 5200017, that added together give a palindrome (5202025).

The spelling of 20085200017 in words is "twenty billion, eighty-five million, two hundred thousand, seventeen".