825132380 has 96 divisors (see below), whose sum is σ = 1884798720. Its totient is φ = 302400000.

The previous prime is 825132353. The next prime is 825132391. The reversal of 825132380 is 83231528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3287255 + ... + 3287505.

It is an arithmetic number, because the mean of its divisors is an integer number (19633320).

Almost surely, 2^825132380 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 825132380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942399360).

825132380 is an abundant number, since it is smaller than the sum of its proper divisors (1059666340).

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

825132380 is a wasteful number, since it uses less digits than its factorization.

825132380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 825132380 is about 28725.1175802641. The cubic root of 825132380 is about 937.9388897318.

The spelling of 825132380 in words is "eight hundred twenty-five million, one hundred thirty-two thousand, three hundred eighty".