1605336606361 has 2 divisors, whose sum is σ = 1605336606362. Its totient is φ = 1605336606360.

The previous prime is 1605336606283. The next prime is 1605336606397. The reversal of 1605336606361 is 1636066335061.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1601490250000 + 3846356361 = 1265500^2 + 62019^2 .

It is a cyclic number.

It is not a de Polignac number, because 1605336606361 - 2⁷ = 1605336606233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1605336606161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 802668303180 + 802668303181.

It is an arithmetic number, because the mean of its divisors is an integer number (802668303181).

Almost surely, 2^{1605336606361} is an apocalyptic number.

It is an amenable number.

1605336606361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1605336606361 is an equidigital number, since it uses as much as digits as its factorization.

1605336606361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1049760, while the sum is 46.

The spelling of 1605336606361 in words is "one trillion, six hundred five billion, three hundred thirty-six million, six hundred six thousand, three hundred sixty-one".