2585723057 has 2 divisors, whose sum is σ = 2585723058. Its totient is φ = 2585723056.

The previous prime is 2585723029. The next prime is 2585723071. The reversal of 2585723057 is 7503275852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1732557376 + 853165681 = 41624^2 + 29209^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585723057 - 2¹⁰ = 2585722033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2585722999 and 2585723017.

It is not a weakly prime, because it can be changed into another prime (2585723087) 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, 1292861528 + 1292861529.

It is an arithmetic number, because the mean of its divisors is an integer number (1292861529).

Almost surely, 2^2585723057 is an apocalyptic number.

It is an amenable number.

2585723057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585723057 is an equidigital number, since it uses as much as digits as its factorization.

2585723057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588000, while the sum is 44.

The square root of 2585723057 is about 50850.0054768925. The cubic root of 2585723057 is about 1372.5473512506.

The spelling of 2585723057 in words is "two billion, five hundred eighty-five million, seven hundred twenty-three thousand, fifty-seven".