825769152 has 252 divisors, whose sum is σ = 2719197000. Its totient is φ = 238657536.

The previous prime is 825769141. The next prime is 825769157. The reversal of 825769152 is 251967528.

Its product of digits (302400) is a multiple of the sum of its prime factors (560).

It is a junction number, because it is equal to n+sod(n) for n = 825769098 and 825769107.

It is not an unprimeable number, because it can be changed into a prime (825769157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1654599 + ... + 1655097.

Almost surely, 2^825769152 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 825769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359598500).

825769152 is an abundant number, since it is smaller than the sum of its proper divisors (1893427848).

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

825769152 is a wasteful number, since it uses less digits than its factorization.

825769152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 534 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 825769152 is about 28736.1993311572. The cubic root of 825769152 is about 938.1801034107.

The spelling of 825769152 in words is "eight hundred twenty-five million, seven hundred sixty-nine thousand, one hundred fifty-two".