513202480 has 120 divisors (see below), whose sum is σ = 1404552960. Its totient is φ = 173859840.

The previous prime is 513202457. The next prime is 513202499. The reversal of 513202480 is 84202315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348145 + ... + 349615.

It is an arithmetic number, because the mean of its divisors is an integer number (11704608).

Almost surely, 2^513202480 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 513202480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702276480).

513202480 is an abundant number, since it is smaller than the sum of its proper divisors (891350480).

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

513202480 is a wasteful number, since it uses less digits than its factorization.

513202480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 513202480 is about 22653.9727200330. The cubic root of 513202480 is about 800.6258020038.

Adding to 513202480 its reverse (84202315), we get a palindrome (597404795).

The spelling of 513202480 in words is "five hundred thirteen million, two hundred two thousand, four hundred eighty".