2585461121 has 2 divisors, whose sum is σ = 2585461122. Its totient is φ = 2585461120.

The previous prime is 2585461097. The next prime is 2585461127. The reversal of 2585461121 is 1211645852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1873158400 + 712302721 = 43280^2 + 26689^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585461121 - 2¹⁴ = 2585444737 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585461127) 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, 1292730560 + 1292730561.

It is an arithmetic number, because the mean of its divisors is an integer number (1292730561).

Almost surely, 2^2585461121 is an apocalyptic number.

It is an amenable number.

2585461121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585461121 is an equidigital number, since it uses as much as digits as its factorization.

2585461121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19200, while the sum is 35.

The square root of 2585461121 is about 50847.4298367184. The cubic root of 2585461121 is about 1372.5010029378.

The spelling of 2585461121 in words is "two billion, five hundred eighty-five million, four hundred sixty-one thousand, one hundred twenty-one".