513130221 has 24 divisors (see below), whose sum is σ = 770515200. Its totient is φ = 341252352.

The previous prime is 513130217. The next prime is 513130237. The reversal of 513130221 is 122031315.

513130221 is a `hidden beast` number, since 513 + 130 + 2 + 21 = 666.

It is not a de Polignac number, because 513130221 - 2² = 513130217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513130194 and 513130203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513130721) 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, 106756 + ... + 111458.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 2^513130221 is an apocalyptic number.

It is an amenable number.

513130221 is a deficient number, since it is larger than the sum of its proper divisors (257384979).

513130221 is an equidigital number, since it uses as much as digits as its factorization.

513130221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 513130221 is about 22652.3778222067. The cubic root of 513130221 is about 800.5882241553.

Adding to 513130221 its reverse (122031315), we get a palindrome (635161536).

The spelling of 513130221 in words is "five hundred thirteen million, one hundred thirty thousand, two hundred twenty-one".