220520313 has 28 divisors (see below), whose sum is σ = 356077540. Its totient is φ = 135698976.

The previous prime is 220520309. The next prime is 220520351. The reversal of 220520313 is 313025022.

It can be written as a sum of positive squares in 2 ways, for example, as 58798224 + 161722089 = 7668^2 + 12717^2 .

It is not a de Polignac number, because 220520313 - 2² = 220520309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220527313) 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 27 ways as a sum of consecutive naturals, for example, 2158 + ... + 21111.

It is an arithmetic number, because the mean of its divisors is an integer number (12717055).

Almost surely, 2^220520313 is an apocalyptic number.

It is an amenable number.

220520313 is a deficient number, since it is larger than the sum of its proper divisors (135557227).

220520313 is an equidigital number, since it uses as much as digits as its factorization.

220520313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23300 (or 23285 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 220520313 is about 14849.9263634538. The cubic root of 220520313 is about 604.1566127876.

Adding to 220520313 its reverse (313025022), we get a palindrome (533545335).

The spelling of 220520313 in words is "two hundred twenty million, five hundred twenty thousand, three hundred thirteen".