2585057673 has 48 divisors (see below), whose sum is σ = 4044902400. Its totient is φ = 1463061600.

The previous prime is 2585057647. The next prime is 2585057681. The reversal of 2585057673 is 3767505852.

It is not a de Polignac number, because 2585057673 - 2²⁰ = 2584009097 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2585057623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487048 + ... + 492326.

It is an arithmetic number, because the mean of its divisors is an integer number (84268800).

Almost surely, 2^2585057673 is an apocalyptic number.

It is an amenable number.

2585057673 is a deficient number, since it is larger than the sum of its proper divisors (1459844727).

2585057673 is a wasteful number, since it uses less digits than its factorization.

2585057673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The square root of 2585057673 is about 50843.4624411045. The cubic root of 2585057673 is about 1372.4296086341.

The spelling of 2585057673 in words is "two billion, five hundred eighty-five million, fifty-seven thousand, six hundred seventy-three".