513830880 has 144 divisors (see below), whose sum is σ = 1761963840. Its totient is φ = 136356864.

The previous prime is 513830861. The next prime is 513830881. The reversal of 513830880 is 88038315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513830881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343414 + ... + 344906.

It is an arithmetic number, because the mean of its divisors is an integer number (12235860).

Almost surely, 2^513830880 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 513830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880981920).

513830880 is an abundant number, since it is smaller than the sum of its proper divisors (1248132960).

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

513830880 is a wasteful number, since it uses less digits than its factorization.

513830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 513830880 is about 22667.8380089500. The cubic root of 513830880 is about 800.9524489346.

The spelling of 513830880 in words is "five hundred thirteen million, eight hundred thirty thousand, eight hundred eighty".