513412432 has 80 divisors (see below), whose sum is σ = 1106804160. Its totient is φ = 229211136.

The previous prime is 513412409. The next prime is 513412439. The reversal of 513412432 is 234214315.

It is a junction number, because it is equal to n+sod(n) for n = 513412397 and 513412406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513412439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1225119 + ... + 1225537.

It is an arithmetic number, because the mean of its divisors is an integer number (13835052).

Almost surely, 2^513412432 is an apocalyptic number.

513412432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553402080).

513412432 is an abundant number, since it is smaller than the sum of its proper divisors (593391728).

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

513412432 is a wasteful number, since it uses less digits than its factorization.

513412432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 513412432 is about 22658.6061354180. The cubic root of 513412432 is about 800.7349662407.

Adding to 513412432 its reverse (234214315), we get a palindrome (747626747).

The spelling of 513412432 in words is "five hundred thirteen million, four hundred twelve thousand, four hundred thirty-two".