2585374857 has 24 divisors (see below), whose sum is σ = 4025230664. Its totient is φ = 1589601024.

The previous prime is 2585374849. The next prime is 2585374861. The reversal of 2585374857 is 7584735852.

2585374857 is a `hidden beast` number, since 2 + 58 + 537 + 4 + 8 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143137296 + 2442237561 = 11964^2 + 49419^2 .

It is not a de Polignac number, because 2585374857 - 2³ = 2585374849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2585374817) 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 in 23 ways as a sum of consecutive naturals, for example, 132813 + ... + 151029.

Almost surely, 2^2585374857 is an apocalyptic number.

It is an amenable number.

2585374857 is a deficient number, since it is larger than the sum of its proper divisors (1439855807).

2585374857 is a wasteful number, since it uses less digits than its factorization.

2585374857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19449 (or 19446 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The square root of 2585374857 is about 50846.5815665124. The cubic root of 2585374857 is about 1372.4857382535.

The spelling of 2585374857 in words is "two billion, five hundred eighty-five million, three hundred seventy-four thousand, eight hundred fifty-seven".