513840276 has 72 divisors (see below), whose sum is σ = 1316162120. Its totient is φ = 169019136.

The previous prime is 513840251. The next prime is 513840287. The reversal of 513840276 is 672048315.

513840276 is a `hidden beast` number, since 5 + 1 + 384 + 0 + 276 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 179828100 + 334012176 = 13410^2 + 18276^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513840276.

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, 1294110 + ... + 1294506.

Almost surely, 2^513840276 is an apocalyptic number.

It is an amenable number.

513840276 is an abundant number, since it is smaller than the sum of its proper divisors (802321844).

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

513840276 is a wasteful number, since it uses less digits than its factorization.

513840276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 513840276 is about 22668.0452619982. The cubic root of 513840276 is about 800.9573310230.

The spelling of 513840276 in words is "five hundred thirteen million, eight hundred forty thousand, two hundred seventy-six".