513343200 has 144 divisors (see below), whose sum is σ = 1687392000. Its totient is φ = 135544320.

The previous prime is 513343183. The next prime is 513343211. The reversal of 513343200 is 2343315.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 255801 + ... + 257799.

It is an arithmetic number, because the mean of its divisors is an integer number (11718000).

Almost surely, 2^513343200 is an apocalyptic number.

513343200 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 513343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696000).

513343200 is an abundant number, since it is smaller than the sum of its proper divisors (1174048800).

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

513343200 is a wasteful number, since it uses less digits than its factorization.

513343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 513343200 is about 22657.0783641669. The cubic root of 513343200 is about 800.6989724524.

Adding to 513343200 its reverse (2343315), we get a palindrome (515686515).

The spelling of 513343200 in words is "five hundred thirteen million, three hundred forty-three thousand, two hundred".