825525090 has 96 divisors (see below), whose sum is σ = 2346192576. Its totient is φ = 200154240.

The previous prime is 825525089. The next prime is 825525143. The reversal of 825525090 is 90525528.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73125 + ... + 83655.

It is an arithmetic number, because the mean of its divisors is an integer number (24439506).

Almost surely, 2^825525090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825525090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173096288).

825525090 is an abundant number, since it is smaller than the sum of its proper divisors (1520667486).

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

825525090 is a wasteful number, since it uses less digits than its factorization.

825525090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 825525090 is about 28731.9524223468. The cubic root of 825525090 is about 938.0876656820.

The spelling of 825525090 in words is "eight hundred twenty-five million, five hundred twenty-five thousand, ninety".