825092352 has 144 divisors (see below), whose sum is σ = 2788670080. Its totient is φ = 235726848.

The previous prime is 825092339. The next prime is 825092357. The reversal of 825092352 is 253290528.

825092352 is a `hidden beast` number, since 82 + 509 + 23 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (825092357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39858 + ... + 56910.

Almost surely, 2^825092352 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 825092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394335040).

825092352 is an abundant number, since it is smaller than the sum of its proper divisors (1963577728).

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

825092352 is a wasteful number, since it uses less digits than its factorization.

825092352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17085 (or 17065 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 825092352 is about 28724.4208296704. The cubic root of 825092352 is about 937.9237227008.

The spelling of 825092352 in words is "eight hundred twenty-five million, ninety-two thousand, three hundred fifty-two".