825627585 has 32 divisors (see below), whose sum is σ = 1338670080. Its totient is φ = 434481408.

The previous prime is 825627581. The next prime is 825627599. The reversal of 825627585 is 585726528.

It is not a de Polignac number, because 825627585 - 2² = 825627581 is a prime.

It is a super-2 number, since 2×825627585² = 1363321818225864450, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825627581) 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 31 ways as a sum of consecutive naturals, for example, 451984 + ... + 453806.

It is an arithmetic number, because the mean of its divisors is an integer number (41833440).

Almost surely, 2^825627585 is an apocalyptic number.

It is an amenable number.

825627585 is a deficient number, since it is larger than the sum of its proper divisors (513042495).

825627585 is a wasteful number, since it uses less digits than its factorization.

825627585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217.

The product of its digits is 1344000, while the sum is 48.

The square root of 825627585 is about 28733.7360083926. The cubic root of 825627585 is about 938.1264875654.

The spelling of 825627585 in words is "eight hundred twenty-five million, six hundred twenty-seven thousand, five hundred eighty-five".