825437952 has 126 divisors (see below), whose sum is σ = 2470905752. Its totient is φ = 275083776.

The previous prime is 825437947. The next prime is 825437959. The reversal of 825437952 is 259734528.

It is a junction number, because it is equal to n+sod(n) for n = 825437898 and 825437907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825437959) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 184413 + ... + 188835.

Almost surely, 2^825437952 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 825437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235452876).

825437952 is an abundant number, since it is smaller than the sum of its proper divisors (1645467800).

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

825437952 is an frugal number, since it uses more digits than its factorization.

825437952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4428 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 825437952 is about 28730.4359869460. The cubic root of 825437952 is about 938.0546580201.

The spelling of 825437952 in words is "eight hundred twenty-five million, four hundred thirty-seven thousand, nine hundred fifty-two".