513533120 has 56 divisors (see below), whose sum is σ = 1227417408. Its totient is φ = 204646400.

The previous prime is 513533107. The next prime is 513533123. The reversal of 513533120 is 21335315.

It is not an unprimeable number, because it can be changed into a prime (513533123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87065 + ... + 92775.

It is an arithmetic number, because the mean of its divisors is an integer number (21918168).

Almost surely, 2^513533120 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 513533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613708704).

513533120 is an abundant number, since it is smaller than the sum of its proper divisors (713884288).

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

513533120 is a wasteful number, since it uses less digits than its factorization.

513533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 513533120 is about 22661.2691612804. The cubic root of 513533120 is about 800.7977043204.

Adding to 513533120 its reverse (21335315), we get a palindrome (534868435).

The spelling of 513533120 in words is "five hundred thirteen million, five hundred thirty-three thousand, one hundred twenty".