513082880 has 160 divisors (see below), whose sum is σ = 1296345600. Its totient is φ = 194568192.

The previous prime is 513082789. The next prime is 513082907. The reversal of 513082880 is 88280315.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 513082880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6494681 + ... + 6494759.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2^513082880 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 513082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648172800).

513082880 is an abundant number, since it is smaller than the sum of its proper divisors (783262720).

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

513082880 is an equidigital number, since it uses as much as digits as its factorization.

513082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 513082880 is about 22651.3328526160. The cubic root of 513082880 is about 800.5636028465.

The spelling of 513082880 in words is "five hundred thirteen million, eighty-two thousand, eight hundred eighty".