523045213200 has 360 divisors, whose sum is σ = 1825527132000. Its totient is φ = 138681446400.

The previous prime is 523045213199. The next prime is 523045213307. The reversal of 523045213200 is 2312540325.

It is a happy number.

523045213200 is a `hidden beast` number, since 5 + 2 + 3 + 0 + 452 + 1 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 882032104 + ... + 882032696.

It is an arithmetic number, because the mean of its divisors is an integer number (5070908700).

Almost surely, 2^523045213200 is an apocalyptic number.

523045213200 is a gapful number since it is divisible by the number (50) 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 523045213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912763566000).

523045213200 is an abundant number, since it is smaller than the sum of its proper divisors (1302481918800).

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

523045213200 is a wasteful number, since it uses less digits than its factorization.

523045213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 523045213200 its reverse (2312540325), we get a palindrome (525357753525).

The spelling of 523045213200 in words is "five hundred twenty-three billion, forty-five million, two hundred thirteen thousand, two hundred".