513332500 has 120 divisors (see below), whose sum is σ = 1204489440. Its totient is φ = 190800000.

The previous prime is 513332467. The next prime is 513332537. The reversal of 513332500 is 5233315.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4797447 + ... + 4797553.

It is an arithmetic number, because the mean of its divisors is an integer number (10037412).

Almost surely, 2^513332500 is an apocalyptic number.

513332500 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 513332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602244720).

513332500 is an abundant number, since it is smaller than the sum of its proper divisors (691156940).

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

513332500 is a wasteful number, since it uses less digits than its factorization.

513332500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 513332500 is about 22656.8422336388. The cubic root of 513332500 is about 800.6934092226.

Adding to 513332500 its reverse (5233315), we get a palindrome (518565815).

The spelling of 513332500 in words is "five hundred thirteen million, three hundred thirty-two thousand, five hundred".