513432 has 32 divisors (see below), whose sum is σ = 1426800. Its totient is φ = 171072.

The previous prime is 513431. The next prime is 513439. The reversal of 513432 is 234315.

It is a super-2 number, since 2×513432² = 527224837248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513431) 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 7 ways as a sum of consecutive naturals, for example, 973 + ... + 1404.

2⁵¹³⁴³² is an apocalyptic number.

It is an amenable number.

513432 is an abundant number, since it is smaller than the sum of its proper divisors (913368).

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

513432 is a wasteful number, since it uses less digits than its factorization.

513432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2382 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 513432 is about 716.5416945301. The cubic root of 513432 is about 80.0745139078.

Adding to 513432 its reverse (234315), we get a palindrome (747747).

The spelling of 513432 in words is "five hundred thirteen thousand, four hundred thirty-two".