2585840057 has 2 divisors, whose sum is σ = 2585840058. Its totient is φ = 2585840056.

The previous prime is 2585840039. The next prime is 2585840069. The reversal of 2585840057 is 7500485852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1519752256 + 1066087801 = 38984^2 + 32651^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585840057 - 2⁸ = 2585839801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585840857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292920028 + 1292920029.

It is an arithmetic number, because the mean of its divisors is an integer number (1292920029).

Almost surely, 2^2585840057 is an apocalyptic number.

It is an amenable number.

2585840057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585840057 is an equidigital number, since it uses as much as digits as its factorization.

2585840057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448000, while the sum is 44.

The square root of 2585840057 is about 50851.1559062328. The cubic root of 2585840057 is about 1372.5680528254.

The spelling of 2585840057 in words is "two billion, five hundred eighty-five million, eight hundred forty thousand, fifty-seven".