513341200 has 30 divisors (see below), whose sum is σ = 1233303194. Its totient is φ = 205336320.

The previous prime is 513341189. The next prime is 513341233. The reversal of 513341200 is 2143315.

It can be written as a sum of positive squares in 3 ways, for example, as 14622976 + 498718224 = 3824^2 + 22332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 641277 + ... + 642076.

Almost surely, 2^513341200 is an apocalyptic number.

513341200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513341200 is an abundant number, since it is smaller than the sum of its proper divisors (719961994).

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

513341200 is a wasteful number, since it uses less digits than its factorization.

513341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283371 (or 1283360 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 513341200 is about 22657.0342278066. The cubic root of 513341200 is about 800.6979326022.

Adding to 513341200 its reverse (2143315), we get a palindrome (515484515).

The spelling of 513341200 in words is "five hundred thirteen million, three hundred forty-one thousand, two hundred".