513424 has 10 divisors (see below), whose sum is σ = 994790. Its totient is φ = 256704.

The previous prime is 513419. The next prime is 513427. The reversal of 513424 is 424315.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 230400 = 532^2 + 480^2 .

It is not an unprimeable number, because it can be changed into a prime (513427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16029 + ... + 16060.

It is an arithmetic number, because the mean of its divisors is an integer number (99479).

2⁵¹³⁴²⁴ is an apocalyptic number.

It is an amenable number.

513424 is a deficient number, since it is larger than the sum of its proper divisors (481366).

513424 is a wasteful number, since it uses less digits than its factorization.

513424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32097 (or 32091 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 513424 is about 716.5361121395. The cubic root of 513424 is about 80.0740980140.

Adding to 513424 its reverse (424315), we get a palindrome (937739).

The spelling of 513424 in words is "five hundred thirteen thousand, four hundred twenty-four".