513205220 has 48 divisors (see below), whose sum is σ = 1200745728. Its totient is φ = 182645760.

The previous prime is 513205183. The next prime is 513205229. The reversal of 513205220 is 22502315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 513205192 and 513205201.

It is not an unprimeable number, because it can be changed into a prime (513205229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14477 + ... + 35156.

It is an arithmetic number, because the mean of its divisors is an integer number (25015536).

Almost surely, 2^513205220 is an apocalyptic number.

It is an amenable number.

513205220 is an abundant number, since it is smaller than the sum of its proper divisors (687540508).

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

513205220 is a wasteful number, since it uses less digits than its factorization.

513205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49700 (or 49698 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 513205220 is about 22654.0331949964. The cubic root of 513205220 is about 800.6272268546.

Adding to 513205220 its reverse (22502315), we get a palindrome (535707535).

The spelling of 513205220 in words is "five hundred thirteen million, two hundred five thousand, two hundred twenty".