513320080 has 160 divisors (see below), whose sum is σ = 1499904000. Its totient is φ = 162344448.

The previous prime is 513320029. The next prime is 513320081. The reversal of 513320080 is 80023315.

It is not an unprimeable number, because it can be changed into a prime (513320081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356001 + ... + 357439.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^513320080 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 513320080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952000).

513320080 is an abundant number, since it is smaller than the sum of its proper divisors (986583920).

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

513320080 is a wasteful number, since it uses less digits than its factorization.

513320080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 513320080 is about 22656.5681425939. The cubic root of 513320080 is about 800.6869516197.

Adding to 513320080 its reverse (80023315), we get a palindrome (593343395).

The spelling of 513320080 in words is "five hundred thirteen million, three hundred twenty thousand, eighty".