2588128121 has 2 divisors, whose sum is σ = 2588128122. Its totient is φ = 2588128120.

The previous prime is 2588128097. The next prime is 2588128141. The reversal of 2588128121 is 1218218852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2536129600 + 51998521 = 50360^2 + 7211^2 .

It is a cyclic number.

It is not a de Polignac number, because 2588128121 - 2¹⁴ = 2588111737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2588128141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294064060 + 1294064061.

It is an arithmetic number, because the mean of its divisors is an integer number (1294064061).

Almost surely, 2^2588128121 is an apocalyptic number.

It is an amenable number.

2588128121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2588128121 is an equidigital number, since it uses as much as digits as its factorization.

2588128121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20480, while the sum is 38.

The square root of 2588128121 is about 50873.6485913877. The cubic root of 2588128121 is about 1372.9727694932.

The spelling of 2588128121 in words is "two billion, five hundred eighty-eight million, one hundred twenty-eight thousand, one hundred twenty-one".