825825816 has 48 divisors (see below), whose sum is σ = 2242267560. Its totient is φ = 274579200.

The previous prime is 825825799. The next prime is 825825817. The reversal of 825825816 is 618528528.

825825816 is a `hidden beast` number, since 8 + 2 + 582 + 58 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825825817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14571 + ... + 43173.

Almost surely, 2^825825816 is an apocalyptic number.

It is an amenable number.

825825816 is an abundant number, since it is smaller than the sum of its proper divisors (1416441744).

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

825825816 is a wasteful number, since it uses less digits than its factorization.

825825816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29016 (or 29009 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 825825816 is about 28737.1852483851. The cubic root of 825825816 is about 938.2015621203.

The spelling of 825825816 in words is "eight hundred twenty-five million, eight hundred twenty-five thousand, eight hundred sixteen".