513042432 has 192 divisors, whose sum is σ = 1593446400. Its totient is φ = 143769600.

The previous prime is 513042373. The next prime is 513042433. The reversal of 513042432 is 234240315.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513042433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3397557 + ... + 3397707.

It is an arithmetic number, because the mean of its divisors is an integer number (8299200).

Almost surely, 2^513042432 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 513042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796723200).

513042432 is an abundant number, since it is smaller than the sum of its proper divisors (1080403968).

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

513042432 is a wasteful number, since it uses less digits than its factorization.

513042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 513042432 is about 22650.4399957264. The cubic root of 513042432 is about 800.5425652788.

Adding to 513042432 its reverse (234240315), we get a palindrome (747282747).

The spelling of 513042432 in words is "five hundred thirteen million, forty-two thousand, four hundred thirty-two".