20610640004161 has 2 divisors, whose sum is σ = 20610640004162. Its totient is φ = 20610640004160.

The previous prime is 20610640004131. The next prime is 20610640004173. The reversal of 20610640004161 is 16140004601602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20582155003536 + 28485000625 = 4536756^2 + 168775^2 .

It is a cyclic number.

It is not a de Polignac number, because 20610640004161 - 2³⁷ = 20473201050689 is a prime.

It is a super-2 number, since 2×20610640004161² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20610640004131) 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, 10305320002080 + 10305320002081.

It is an arithmetic number, because the mean of its divisors is an integer number (10305320002081).

Almost surely, 2^{20610640004161} is an apocalyptic number.

It is an amenable number.

20610640004161 is a deficient number, since it is larger than the sum of its proper divisors (1).

20610640004161 is an equidigital number, since it uses as much as digits as its factorization.

20610640004161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 20610640004161 its reverse (16140004601602), we get a palindrome (36750644605763).

The spelling of 20610640004161 in words is "twenty trillion, six hundred ten billion, six hundred forty million, four thousand, one hundred sixty-one".