513774080 has 80 divisors (see below), whose sum is σ = 1245154680. Its totient is φ = 203292672.

The previous prime is 513774077. The next prime is 513774109. The reversal of 513774080 is 80477315.

It can be written as a sum of positive squares in 4 ways, for example, as 311451904 + 202322176 = 17648^2 + 14224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 513774080.

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, 247286 + ... + 249354.

Almost surely, 2^513774080 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 513774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622577340).

513774080 is an abundant number, since it is smaller than the sum of its proper divisors (731380600).

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

513774080 is an equidigital number, since it uses as much as digits as its factorization.

513774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 513774080 is about 22666.5850978924. The cubic root of 513774080 is about 800.9229348297.

The spelling of 513774080 in words is "five hundred thirteen million, seven hundred seventy-four thousand, eighty".