513005220 has 144 divisors (see below), whose sum is σ = 1915280640. Its totient is φ = 108235008.

The previous prime is 513005219. The next prime is 513005231. The reversal of 513005220 is 22500315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 513005193 and 513005202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721 + ... + 32039.

It is an arithmetic number, because the mean of its divisors is an integer number (13300560).

Almost surely, 2^513005220 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 513005220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957640320).

513005220 is an abundant number, since it is smaller than the sum of its proper divisors (1402275420).

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

513005220 is a wasteful number, since it uses less digits than its factorization.

513005220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31354 (or 31349 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 513005220 is about 22649.6185398342. The cubic root of 513005220 is about 800.5232098231.

Adding to 513005220 its reverse (22500315), we get a palindrome (535505535).

The spelling of 513005220 in words is "five hundred thirteen million, five thousand, two hundred twenty".