513681860 has 48 divisors (see below), whose sum is σ = 1147109040. Its totient is φ = 192552960.

The previous prime is 513681829. The next prime is 513681871. The reversal of 513681860 is 68186315.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6801664 + 506880196 = 2608^2 + 22514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78806 + ... + 85074.

It is an arithmetic number, because the mean of its divisors is an integer number (23898105).

Almost surely, 2^513681860 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 513681860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573554520).

513681860 is an abundant number, since it is smaller than the sum of its proper divisors (633427180).

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

513681860 is a wasteful number, since it uses less digits than its factorization.

513681860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 513681860 is about 22664.5507345723. The cubic root of 513681860 is about 800.8750113450.

The spelling of 513681860 in words is "five hundred thirteen million, six hundred eighty-one thousand, eight hundred sixty".