513630944 has 24 divisors (see below), whose sum is σ = 1035877248. Its totient is φ = 250551040.

The previous prime is 513630941. The next prime is 513630967. The reversal of 513630944 is 449036315.

It is a happy number.

It is a super-3 number, since 3×513630944³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513630941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194432 + ... + 197055.

It is an arithmetic number, because the mean of its divisors is an integer number (43161552).

Almost surely, 2^513630944 is an apocalyptic number.

It is an amenable number.

513630944 is an abundant number, since it is smaller than the sum of its proper divisors (522246304).

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

513630944 is a wasteful number, since it uses less digits than its factorization.

513630944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391538 (or 391530 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 513630944 is about 22663.4274548225. The cubic root of 513630944 is about 800.8485496362.

The spelling of 513630944 in words is "five hundred thirteen million, six hundred thirty thousand, nine hundred forty-four".