2601188027849 has 2 divisors, whose sum is σ = 2601188027850. Its totient is φ = 2601188027848.

The previous prime is 2601188027813. The next prime is 2601188027869. The reversal of 2601188027849 is 9487208811062.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1307809524025 + 1293378503824 = 1143595^2 + 1137268^2 .

It is a cyclic number.

It is not a de Polignac number, because 2601188027849 - 2²⁸ = 2600919592393 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2601188027794 and 2601188027803.

It is not a weakly prime, because it can be changed into another prime (2601188027869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1300594013924 + 1300594013925.

It is an arithmetic number, because the mean of its divisors is an integer number (1300594013925).

Almost surely, 2^{2601188027849} is an apocalyptic number.

It is an amenable number.

2601188027849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2601188027849 is an equidigital number, since it uses as much as digits as its factorization.

2601188027849 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 56.

The spelling of 2601188027849 in words is "two trillion, six hundred one billion, one hundred eighty-eight million, twenty-seven thousand, eight hundred forty-nine".