513020448 has 36 divisors (see below), whose sum is σ = 1458902718. Its totient is φ = 171006720.

The previous prime is 513020393. The next prime is 513020467. The reversal of 513020448 is 844020315.

It can be written as a sum of positive squares in only one way, i.e., 504092304 + 8928144 = 22452^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×513020448² = 526379960132241408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 890373 + ... + 890948.

Almost surely, 2^513020448 is an apocalyptic number.

It is an amenable number.

513020448 is an abundant number, since it is smaller than the sum of its proper divisors (945882270).

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

513020448 is a wasteful number, since it uses less digits than its factorization.

513020448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781337 (or 1781326 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 513020448 is about 22649.9547019415. The cubic root of 513020448 is about 800.5311306306.

The spelling of 513020448 in words is "five hundred thirteen million, twenty thousand, four hundred forty-eight".