513513300 has 72 divisors (see below), whose sum is σ = 1489376896. Its totient is φ = 136604160.

The previous prime is 513513283. The next prime is 513513307. The reversal of 513513300 is 3315315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513513307) by changing a digit.

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, 137052 + ... + 140748.

Almost surely, 2^513513300 is an apocalyptic number.

513513300 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 513513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744688448).

513513300 is an abundant number, since it is smaller than the sum of its proper divisors (975863596).

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

513513300 is a wasteful number, since it uses less digits than its factorization.

513513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 513513300 is about 22660.8318470439. The cubic root of 513513300 is about 800.7874018270.

Adding to 513513300 its reverse (3315315), we get a palindrome (516828615).

The spelling of 513513300 in words is "five hundred thirteen million, five hundred thirteen thousand, three hundred".