20413515132161 has 2 divisors, whose sum is σ = 20413515132162. Its totient is φ = 20413515132160.

The previous prime is 20413515132119. The next prime is 20413515132191. The reversal of 20413515132161 is 16123151531402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11274720106225 + 9138795025936 = 3357785^2 + 3023044^2 .

It is a cyclic number.

It is not a de Polignac number, because 20413515132161 - 2¹⁸ = 20413514870017 is a prime.

It is a super-2 number, since 2×20413515132161² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20413515132191) 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, 10206757566080 + 10206757566081.

It is an arithmetic number, because the mean of its divisors is an integer number (10206757566081).

Almost surely, 2^{20413515132161} is an apocalyptic number.

It is an amenable number.

20413515132161 is a deficient number, since it is larger than the sum of its proper divisors (1).

20413515132161 is an equidigital number, since it uses as much as digits as its factorization.

20413515132161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 20413515132161 its reverse (16123151531402), we get a palindrome (36536666663563).

The spelling of 20413515132161 in words is "twenty trillion, four hundred thirteen billion, five hundred fifteen million, one hundred thirty-two thousand, one hundred sixty-one".