513513424 has 20 divisors (see below), whose sum is σ = 1053458244. Its totient is φ = 241653248.

The previous prime is 513513421. The next prime is 513513457. The reversal of 513513424 is 424315315.

It can be written as a sum of positive squares in 2 ways, for example, as 287913024 + 225600400 = 16968^2 + 15020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513513392 and 513513401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513513421) 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 3 ways as a sum of consecutive naturals, for example, 943687 + ... + 944230.

Almost surely, 2^513513424 is an apocalyptic number.

It is an amenable number.

513513424 is an abundant number, since it is smaller than the sum of its proper divisors (539944820).

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

513513424 is a wasteful number, since it uses less digits than its factorization.

513513424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887942 (or 1887936 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 513513424 is about 22660.8345830422. The cubic root of 513513424 is about 800.7874662834.

Adding to 513513424 its reverse (424315315), we get a palindrome (937828739).

The spelling of 513513424 in words is "five hundred thirteen million, five hundred thirteen thousand, four hundred twenty-four".