523506816 has 96 divisors (see below), whose sum is σ = 1721678400. Its totient is φ = 149571072.

The previous prime is 523506803. The next prime is 523506817. The reversal of 523506816 is 618605325.

523506816 is a `hidden beast` number, since 523 + 50 + 6 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (523506817) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24396 + ... + 40523.

It is an arithmetic number, because the mean of its divisors is an integer number (17934150).

Almost surely, 2^523506816 is an apocalyptic number.

523506816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

523506816 is an abundant number, since it is smaller than the sum of its proper divisors (1198171584).

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

523506816 is a wasteful number, since it uses less digits than its factorization.

523506816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64946 (or 64931 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 523506816 is about 22880.2713270625. The cubic root of 523506816 is about 805.9487885825.

The spelling of 523506816 in words is "five hundred twenty-three million, five hundred six thousand, eight hundred sixteen".