303220513 has 8 divisors (see below), whose sum is σ = 313511400. Its totient is φ = 293040000.

The previous prime is 303220507. The next prime is 303220531. The reversal of 303220513 is 315022303.

It can be written as a sum of positive squares in 4 ways, for example, as 1607824 + 301612689 = 1268^2 + 17367^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 303220513 - 2¹³ = 303212321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (303220553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21988 + ... + 33013.

It is an arithmetic number, because the mean of its divisors is an integer number (39188925).

Almost surely, 2^303220513 is an apocalyptic number.

It is an amenable number.

303220513 is a deficient number, since it is larger than the sum of its proper divisors (10290887).

303220513 is a wasteful number, since it uses less digits than its factorization.

303220513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55187.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 303220513 is about 17413.2281039444. The cubic root of 303220513 is about 671.8198929470.

Adding to 303220513 its reverse (315022303), we get a palindrome (618242816).

The spelling of 303220513 in words is "three hundred three million, two hundred twenty thousand, five hundred thirteen".