825809536 has 64 divisors (see below), whose sum is σ = 1717669800. Its totient is φ = 395100160.

The previous prime is 825809531. The next prime is 825809557. The reversal of 825809536 is 635908528.

It can be written as a sum of positive squares in 4 ways, for example, as 307791936 + 518017600 = 17544^2 + 22760^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×825809536² = 1363922779497070592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825809531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276660 + ... + 279628.

Almost surely, 2^825809536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825809536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858834900).

825809536 is an abundant number, since it is smaller than the sum of its proper divisors (891860264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825809536 is a wasteful number, since it uses less digits than its factorization.

825809536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The square root of 825809536 is about 28736.9019902981. The cubic root of 825809536 is about 938.1953969696.

The spelling of 825809536 in words is "eight hundred twenty-five million, eight hundred nine thousand, five hundred thirty-six".