513502080 has 256 divisors, whose sum is σ = 2015193600. Its totient is φ = 108306432.

The previous prime is 513502063. The next prime is 513502103. The reversal of 513502080 is 80205315.

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

It is a self number, because there is not a number n which added to its sum of digits gives 513502080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173251 + ... + 176189.

It is an arithmetic number, because the mean of its divisors is an integer number (7871850).

Almost surely, 2^513502080 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 513502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007596800).

513502080 is an abundant number, since it is smaller than the sum of its proper divisors (1501691520).

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

513502080 is a wasteful number, since it uses less digits than its factorization.

513502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 513502080 is about 22660.5842819641. The cubic root of 513502080 is about 800.7815695210.

Adding to 513502080 its reverse (80205315), we get a palindrome (593707395).

The spelling of 513502080 in words is "five hundred thirteen million, five hundred two thousand, eighty".