2585528827 has 16 divisors (see below), whose sum is σ = 3168322560. Its totient is φ = 2059394688.

The previous prime is 2585528807. The next prime is 2585528833. The reversal of 2585528827 is 7288255852.

2585528827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-2585528827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585528807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128113 + ... + 146914.

It is an arithmetic number, because the mean of its divisors is an integer number (198020160).

Almost surely, 2^2585528827 is an apocalyptic number.

2585528827 is a deficient number, since it is larger than the sum of its proper divisors (582793733).

2585528827 is a wasteful number, since it uses less digits than its factorization.

2585528827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275130.

The product of its digits is 3584000, while the sum is 52.

The square root of 2585528827 is about 50848.0956083903. The cubic root of 2585528827 is about 1372.5129834882.

The spelling of 2585528827 in words is "two billion, five hundred eighty-five million, five hundred twenty-eight thousand, eight hundred twenty-seven".