2585581253 has 2 divisors, whose sum is σ = 2585581254. Its totient is φ = 2585581252.

The previous prime is 2585581247. The next prime is 2585581267. The reversal of 2585581253 is 3521855852.

2585581253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2253685729 + 331895524 = 47473^2 + 18218^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585581253 - 2¹⁰ = 2585580229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585581553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292790626 + 1292790627.

It is an arithmetic number, because the mean of its divisors is an integer number (1292790627).

Almost surely, 2^2585581253 is an apocalyptic number.

It is an amenable number.

2585581253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585581253 is an equidigital number, since it uses as much as digits as its factorization.

2585581253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480000, while the sum is 44.

The square root of 2585581253 is about 50848.6111216423. The cubic root of 2585581253 is about 1372.5222601048.

The spelling of 2585581253 in words is "two billion, five hundred eighty-five million, five hundred eighty-one thousand, two hundred fifty-three".