2677256587241 has 2 divisors, whose sum is σ = 2677256587242. Its totient is φ = 2677256587240.

The previous prime is 2677256587163. The next prime is 2677256587279. The reversal of 2677256587241 is 1427856527762.

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., 1534129960000 + 1143126627241 = 1238600^2 + 1069171^2 .

It is a cyclic number.

It is not a de Polignac number, because 2677256587241 - 2¹⁰ = 2677256586217 is a prime.

It is not a weakly prime, because it can be changed into another prime (2677256587141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1338628293620 + 1338628293621.

It is an arithmetic number, because the mean of its divisors is an integer number (1338628293621).

Almost surely, 2^{2677256587241} is an apocalyptic number.

It is an amenable number.

2677256587241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2677256587241 is an equidigital number, since it uses as much as digits as its factorization.

2677256587241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 79027200, while the sum is 62.

The spelling of 2677256587241 in words is "two trillion, six hundred seventy-seven billion, two hundred fifty-six million, five hundred eighty-seven thousand, two hundred forty-one".