2585521 has 2 divisors, whose sum is σ = 2585522. Its totient is φ = 2585520.

The previous prime is 2585509. The next prime is 2585549. The reversal of 2585521 is 1255852.

It is an a-pointer prime, because the next prime (2585549) can be obtained adding 2585521 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 442225 = 1464^2 + 665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585521 - 2¹³ = 2577329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2585521.

It is not a weakly prime, because it can be changed into another prime (2580521) 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, 1292760 + 1292761.

It is an arithmetic number, because the mean of its divisors is an integer number (1292761).

2^2585521 is an apocalyptic number.

It is an amenable number.

2585521 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585521 is an equidigital number, since it uses as much as digits as its factorization.

2585521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4000, while the sum is 28.

The square root of 2585521 is about 1607.9555342111. The cubic root of 2585521 is about 137.2511598514.

The spelling of 2585521 in words is "two million, five hundred eighty-five thousand, five hundred twenty-one".