513969040 has 80 divisors (see below), whose sum is σ = 1342914048. Its totient is φ = 181513728.

The previous prime is 513969013. The next prime is 513969077. The reversal of 513969040 is 40969315.

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

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 15 ways as a sum of consecutive naturals, for example, 13177 + ... + 34663.

Almost surely, 2^513969040 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 513969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671457024).

513969040 is an abundant number, since it is smaller than the sum of its proper divisors (828945008).

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

513969040 is a wasteful number, since it uses less digits than its factorization.

513969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21536 (or 21530 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 513969040 is about 22670.8852936977. The cubic root of 513969040 is about 801.0242297987.

The spelling of 513969040 in words is "five hundred thirteen million, nine hundred sixty-nine thousand, forty".