513120330 has 96 divisors (see below), whose sum is σ = 1374701328. Its totient is φ = 132710400.

The previous prime is 513120323. The next prime is 513120341. The reversal of 513120330 is 33021315.

513120330 is a `hidden beast` number, since 513 + 120 + 3 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 322597521 + 190522809 = 17961^2 + 13803^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889002 + ... + 889578.

Almost surely, 2^513120330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687350664).

513120330 is an abundant number, since it is smaller than the sum of its proper divisors (861580998).

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

513120330 is a wasteful number, since it uses less digits than its factorization.

513120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 513120330 is about 22652.1594997033. The cubic root of 513120330 is about 800.5830801270.

Adding to 513120330 its reverse (33021315), we get a palindrome (546141645).

The spelling of 513120330 in words is "five hundred thirteen million, one hundred twenty thousand, three hundred thirty".