825008652 has 240 divisors, whose sum is σ = 2499666400. Its totient is φ = 236545920.

The previous prime is 825008651. The next prime is 825008663. The reversal of 825008652 is 256800528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825008651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13524702 + ... + 13524762.

Almost surely, 2^825008652 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 825008652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249833200).

825008652 is an abundant number, since it is smaller than the sum of its proper divisors (1674657748).

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

825008652 is a wasteful number, since it uses less digits than its factorization.

825008652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 825008652 is about 28722.9638442832. The cubic root of 825008652 is about 937.8920063036.

The spelling of 825008652 in words is "eight hundred twenty-five million, eight thousand, six hundred fifty-two".