513234432 has 120 divisors (see below), whose sum is σ = 1494594816. Its totient is φ = 169537536.

The previous prime is 513234409. The next prime is 513234473. The reversal of 513234432 is 234432315.

It is a junction number, because it is equal to n+sod(n) for n = 513234396 and 513234405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584778 + ... + 585654.

Almost surely, 2^513234432 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 513234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747297408).

513234432 is an abundant number, since it is smaller than the sum of its proper divisors (981360384).

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

513234432 is a wasteful number, since it uses less digits than its factorization.

513234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1009 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 513234432 is about 22654.6779275275. The cubic root of 513234432 is about 800.6424173202.

Adding to 513234432 its reverse (234432315), we get a palindrome (747666747).

It can be divided in two parts, 51323 and 4432, that added together give a palindrome (55755).

The spelling of 513234432 in words is "five hundred thirteen million, two hundred thirty-four thousand, four hundred thirty-two".