2585606521 has 2 divisors, whose sum is σ = 2585606522. Its totient is φ = 2585606520.

The previous prime is 2585606477. The next prime is 2585606561. The reversal of 2585606521 is 1256065852.

It is an a-pointer prime, because the next prime (2585606561) can be obtained adding 2585606521 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2312167225 + 273439296 = 48085^2 + 16536^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585606521 - 2¹⁹ = 2585082233 is a prime.

It is a super-3 number, since 3×2585606521³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2585606561) 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, 1292803260 + 1292803261.

It is an arithmetic number, because the mean of its divisors is an integer number (1292803261).

Almost surely, 2^2585606521 is an apocalyptic number.

It is an amenable number.

2585606521 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585606521 is an equidigital number, since it uses as much as digits as its factorization.

2585606521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 2585606521 is about 50848.8595840654. The cubic root of 2585606521 is about 1372.5267311536.

The spelling of 2585606521 in words is "two billion, five hundred eighty-five million, six hundred six thousand, five hundred twenty-one".