513384980 has 24 divisors (see below), whose sum is σ = 1080761640. Its totient is φ = 204848640.

The previous prime is 513384979. The next prime is 513385031. The reversal of 513384980 is 89483315.

It can be written as a sum of positive squares in 4 ways, for example, as 59013124 + 454371856 = 7682^2 + 21316^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23201 + ... + 39560.

It is an arithmetic number, because the mean of its divisors is an integer number (45031735).

Almost surely, 2^513384980 is an apocalyptic number.

It is an amenable number.

513384980 is an abundant number, since it is smaller than the sum of its proper divisors (567376660).

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

513384980 is a wasteful number, since it uses less digits than its factorization.

513384980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63179 (or 63177 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 513384980 is about 22658.0003530762. Note that the first 3 decimals coincide. The cubic root of 513384980 is about 800.7206943047.

The spelling of 513384980 in words is "five hundred thirteen million, three hundred eighty-four thousand, nine hundred eighty".