513032120 has 64 divisors (see below), whose sum is σ = 1231368480. Its totient is φ = 191696896.

The previous prime is 513032111. The next prime is 513032123. The reversal of 513032120 is 21230315.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90407 + ... + 95913.

Almost surely, 2^513032120 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 513032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615684240).

513032120 is an abundant number, since it is smaller than the sum of its proper divisors (718336360).

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

513032120 is a wasteful number, since it uses less digits than its factorization.

513032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 513032120 is about 22650.2123610354. The cubic root of 513032120 is about 800.5372016872.

Adding to 513032120 its reverse (21230315), we get a palindrome (534262435).

The spelling of 513032120 in words is "five hundred thirteen million, thirty-two thousand, one hundred twenty".