513578980 has 36 divisors (see below), whose sum is σ = 1116892980. Its totient is φ = 198136960.

The previous prime is 513578969. The next prime is 513579019. The reversal of 513578980 is 89875315.

It can be written as a sum of positive squares in 6 ways, for example, as 2005056 + 511573924 = 1416^2 + 22618^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 513578980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545310 + ... + 546250.

It is an arithmetic number, because the mean of its divisors is an integer number (31024805).

Almost surely, 2^513578980 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 513578980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558446490).

513578980 is an abundant number, since it is smaller than the sum of its proper divisors (603314000).

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

513578980 is an equidigital number, since it uses as much as digits as its factorization.

513578980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 513578980 is about 22662.2809972871. The cubic root of 513578980 is about 800.8215414649.

The spelling of 513578980 in words is "five hundred thirteen million, five hundred seventy-eight thousand, nine hundred eighty".