816525952 has 64 divisors (see below), whose sum is σ = 1779940800. Its totient is φ = 370022400.

The previous prime is 816525949. The next prime is 816525973. The reversal of 816525952 is 259525618.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 816525899 and 816525908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617452 + ... + 618772.

It is an arithmetic number, because the mean of its divisors is an integer number (27811575).

Almost surely, 2^816525952 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 816525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889970400).

816525952 is an abundant number, since it is smaller than the sum of its proper divisors (963414848).

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

816525952 is a wasteful number, since it uses less digits than its factorization.

816525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1773 counting only the distinct ones).

The product of its digits is 216000, while the sum is 43.

The square root of 816525952 is about 28574.9182326039. The cubic root of 816525952 is about 934.6664722113. Note that the first 3 decimals are identical.

The spelling of 816525952 in words is "eight hundred sixteen million, five hundred twenty-five thousand, nine hundred fifty-two".