20413147960729 has 2 divisors, whose sum is σ = 20413147960730. Its totient is φ = 20413147960728.

The previous prime is 20413147960679. The next prime is 20413147960741. The reversal of 20413147960729 is 92706974131402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16851246670729 + 3561901290000 = 4105027^2 + 1887300^2 .

It is a cyclic number.

It is not a de Polignac number, because 20413147960729 - 2¹¹ = 20413147958681 is a prime.

It is a super-2 number, since 2×20413147960729² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20413147960729.

It is not a weakly prime, because it can be changed into another prime (20413147960529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10206573980364 + 10206573980365.

It is an arithmetic number, because the mean of its divisors is an integer number (10206573980365).

Almost surely, 2^{20413147960729} is an apocalyptic number.

It is an amenable number.

20413147960729 is a deficient number, since it is larger than the sum of its proper divisors (1).

20413147960729 is an equidigital number, since it uses as much as digits as its factorization.

20413147960729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 20413147960729 in words is "twenty trillion, four hundred thirteen billion, one hundred forty-seven million, nine hundred sixty thousand, seven hundred twenty-nine".