816533816625 has 24 divisors (see below), whose sum is σ = 1471938295464. Its totient is φ = 435484701600.

The previous prime is 816533816597. The next prime is 816533816629. The reversal of 816533816625 is 526618335618.

It is a happy number.

816533816625 is a `hidden beast` number, since 8 + 1 + 6 + 5 + 3 + 3 + 8 + 1 + 6 + 625 = 666.

816533816625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12807222561 + 803726594064 = 113169^2 + 896508^2 .

It is not a de Polignac number, because 816533816625 - 2⁹ = 816533816113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (816533816629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362902794 + ... + 362905043.

It is an arithmetic number, because the mean of its divisors is an integer number (61330762311).

Almost surely, 2^816533816625 is an apocalyptic number.

It is an amenable number.

816533816625 is a deficient number, since it is larger than the sum of its proper divisors (655404478839).

816533816625 is a wasteful number, since it uses less digits than its factorization.

816533816625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725807858 (or 725807845 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 816533816625 in words is "eight hundred sixteen billion, five hundred thirty-three million, eight hundred sixteen thousand, six hundred twenty-five".