513302011200 has 672 divisors, whose sum is σ = 2069385467520. Its totient is φ = 122723942400.

The previous prime is 513302011111. The next prime is 513302011207. The reversal of 513302011200 is 2110203315.

513302011200 is a `hidden beast` number, since 513 + 30 + 2 + 0 + 1 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513302011207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34682202 + ... + 34696998.

It is an arithmetic number, because the mean of its divisors is an integer number (3079442660).

Almost surely, 2^513302011200 is an apocalyptic number.

513302011200 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 513302011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034692733760).

513302011200 is an abundant number, since it is smaller than the sum of its proper divisors (1556083456320).

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

513302011200 is a wasteful number, since it uses less digits than its factorization.

513302011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14912 (or 14891 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 513302011200 its reverse (2110203315), we get a palindrome (515412214515).

The spelling of 513302011200 in words is "five hundred thirteen billion, three hundred two million, eleven thousand, two hundred".