2728641086261 has 2 divisors, whose sum is σ = 2728641086262. Its totient is φ = 2728641086260.

The previous prime is 2728641086203. The next prime is 2728641086299. The reversal of 2728641086261 is 1626801468272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1367568863761 + 1361072222500 = 1169431^2 + 1166650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2728641086261 is a prime.

It is a super-2 number, since 2×2728641086261² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2728641086161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364320543130 + 1364320543131.

It is an arithmetic number, because the mean of its divisors is an integer number (1364320543131).

Almost surely, 2^{2728641086261} is an apocalyptic number.

It is an amenable number.

2728641086261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2728641086261 is an equidigital number, since it uses as much as digits as its factorization.

2728641086261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 2728641086261 in words is "two trillion, seven hundred twenty-eight billion, six hundred forty-one million, eighty-six thousand, two hundred sixty-one".