20003513161729 has 2 divisors, whose sum is σ = 20003513161730. Its totient is φ = 20003513161728.

The previous prime is 20003513161637. The next prime is 20003513161733. The reversal of 20003513161729 is 92716131530002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13179804160000 + 6823709001729 = 3630400^2 + 2612223^2 .

It is a cyclic number.

It is not a de Polignac number, because 20003513161729 - 2⁷ = 20003513161601 is a prime.

It is a super-2 number, since 2×20003513161729² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20003513161691 and 20003513161700.

It is not a weakly prime, because it can be changed into another prime (20003513161829) 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, 10001756580864 + 10001756580865.

It is an arithmetic number, because the mean of its divisors is an integer number (10001756580865).

Almost surely, 2^{20003513161729} is an apocalyptic number.

It is an amenable number.

20003513161729 is a deficient number, since it is larger than the sum of its proper divisors (1).

20003513161729 is an equidigital number, since it uses as much as digits as its factorization.

20003513161729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 20003513161729 in words is "twenty trillion, three billion, five hundred thirteen million, one hundred sixty-one thousand, seven hundred twenty-nine".