2605165761641 has 2 divisors, whose sum is σ = 2605165761642. Its totient is φ = 2605165761640.

The previous prime is 2605165761629. The next prime is 2605165761659. The reversal of 2605165761641 is 1461675615062.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1874475883225 + 730689878416 = 1369115^2 + 854804^2 .

It is a cyclic number.

It is not a de Polignac number, because 2605165761641 - 2¹⁴ = 2605165745257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2605165761641.

It is not a weakly prime, because it can be changed into another prime (2605165767641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1302582880820 + 1302582880821.

It is an arithmetic number, because the mean of its divisors is an integer number (1302582880821).

Almost surely, 2^{2605165761641} is an apocalyptic number.

It is an amenable number.

2605165761641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2605165761641 is an equidigital number, since it uses as much as digits as its factorization.

2605165761641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 2605165761641 in words is "two trillion, six hundred five billion, one hundred sixty-five million, seven hundred sixty-one thousand, six hundred forty-one".