2561188141 has 2 divisors, whose sum is σ = 2561188142. Its totient is φ = 2561188140.

The previous prime is 2561188129. The next prime is 2561188213. The reversal of 2561188141 is 1418811652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1701232516 + 859955625 = 41246^2 + 29325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561188141 - 2³¹ = 413704493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2561188141.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280594070 + 1280594071.

It is an arithmetic number, because the mean of its divisors is an integer number (1280594071).

Almost surely, 2^2561188141 is an apocalyptic number.

It is an amenable number.

2561188141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561188141 is an equidigital number, since it uses as much as digits as its factorization.

2561188141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15360, while the sum is 37.

The square root of 2561188141 is about 50608.1825498605. The cubic root of 2561188141 is about 1368.1923592474.

Adding to 2561188141 its reverse (1418811652), we get a palindrome (3979999793).

The spelling of 2561188141 in words is "two billion, five hundred sixty-one million, one hundred eighty-eight thousand, one hundred forty-one".