825113250 has 128 divisors (see below), whose sum is σ = 2464600320. Its totient is φ = 203083200.

The previous prime is 825113243. The next prime is 825113299. The reversal of 825113250 is 52311528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83049 + ... + 92451.

It is an arithmetic number, because the mean of its divisors is an integer number (19254690).

Almost surely, 2^825113250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825113250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232300160).

825113250 is an abundant number, since it is smaller than the sum of its proper divisors (1639487070).

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

825113250 is a wasteful number, since it uses less digits than its factorization.

825113250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9442 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 825113250 is about 28724.7845944926. The cubic root of 825113250 is about 937.9316412344.

Adding to 825113250 its reverse (52311528), we get a palindrome (877424778).

The spelling of 825113250 in words is "eight hundred twenty-five million, one hundred thirteen thousand, two hundred fifty".