424221313 has 2 divisors, whose sum is σ = 424221314. Its totient is φ = 424221312.

The previous prime is 424221307. The next prime is 424221319. The reversal of 424221313 is 313122424.

It is a balanced prime because it is at equal distance from previous prime (424221307) and next prime (424221319).

It can be written as a sum of positive squares in only one way, i.e., 367565584 + 56655729 = 19172^2 + 7527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-424221313 is a prime.

It is a super-3 number, since 3×424221313³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (424221319) 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 as a sum of consecutive naturals, namely, 212110656 + 212110657.

It is an arithmetic number, because the mean of its divisors is an integer number (212110657).

Almost surely, 2^424221313 is an apocalyptic number.

It is an amenable number.

424221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

424221313 is an equidigital number, since it uses as much as digits as its factorization.

424221313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 22.

The square root of 424221313 is about 20596.6335356048. The cubic root of 424221313 is about 751.3878379939.

Adding to 424221313 its reverse (313122424), we get a palindrome (737343737).

The spelling of 424221313 in words is "four hundred twenty-four million, two hundred twenty-one thousand, three hundred thirteen".