523065816 has 384 divisors, whose sum is σ = 1897344000. Its totient is φ = 130470912.

The previous prime is 523065811. The next prime is 523065817. The reversal of 523065816 is 618560325.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523065811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5877100 + ... + 5877188.

It is an arithmetic number, because the mean of its divisors is an integer number (4941000).

Almost surely, 2^523065816 is an apocalyptic number.

523065816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523065816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948672000).

523065816 is an abundant number, since it is smaller than the sum of its proper divisors (1374278184).

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

523065816 is a wasteful number, since it uses less digits than its factorization.

523065816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

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

The square root of 523065816 is about 22870.6321731604. The cubic root of 523065816 is about 805.7224156846.

The spelling of 523065816 in words is "five hundred twenty-three million, sixty-five thousand, eight hundred sixteen".