2257712593 has 2 divisors, whose sum is σ = 2257712594. Its totient is φ = 2257712592.

The previous prime is 2257712581. The next prime is 2257712617. The reversal of 2257712593 is 3952177522.

2257712593 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., 1776875409 + 480837184 = 42153^2 + 21928^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2257712593 is a prime.

It is not a weakly prime, because it can be changed into another prime (2257712503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128856296 + 1128856297.

It is an arithmetic number, because the mean of its divisors is an integer number (1128856297).

Almost surely, 2^2257712593 is an apocalyptic number.

It is an amenable number.

2257712593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257712593 is an equidigital number, since it uses as much as digits as its factorization.

2257712593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 264600, while the sum is 43.

The square root of 2257712593 is about 47515.3932215656. The cubic root of 2257712593 is about 1311.8662275074.

The spelling of 2257712593 in words is "two billion, two hundred fifty-seven million, seven hundred twelve thousand, five hundred ninety-three".