513335424 has 128 divisors (see below), whose sum is σ = 1565642880. Its totient is φ = 145981440.

The previous prime is 513335423. The next prime is 513335477. The reversal of 513335424 is 424533315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 513335391 and 513335400.

It is not an unprimeable number, because it can be changed into a prime (513335423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948594 + ... + 949134.

It is an arithmetic number, because the mean of its divisors is an integer number (12231585).

Almost surely, 2^513335424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782821440).

513335424 is an abundant number, since it is smaller than the sum of its proper divisors (1052307456).

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

513335424 is a wasteful number, since it uses less digits than its factorization.

513335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 906 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 513335424 is about 22656.9067615154. The cubic root of 513335424 is about 800.6949294998.

Adding to 513335424 its reverse (424533315), we get a palindrome (937868739).

The spelling of 513335424 in words is "five hundred thirteen million, three hundred thirty-five thousand, four hundred twenty-four".