2561188129 has 2 divisors, whose sum is σ = 2561188130. Its totient is φ = 2561188128.

The previous prime is 2561188121. The next prime is 2561188141. The reversal of 2561188129 is 9218811652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2293931025 + 267257104 = 47895^2 + 16348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561188129 - 2³ = 2561188121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2561188121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280594064 + 1280594065.

It is an arithmetic number, because the mean of its divisors is an integer number (1280594065).

Almost surely, 2^2561188129 is an apocalyptic number.

It is an amenable number.

2561188129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561188129 is an equidigital number, since it uses as much as digits as its factorization.

2561188129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 43.

The square root of 2561188129 is about 50608.1824313025. The cubic root of 2561188129 is about 1368.1923571105.

The spelling of 2561188129 in words is "two billion, five hundred sixty-one million, one hundred eighty-eight thousand, one hundred twenty-nine".