4242305313 has 16 divisors (see below), whose sum is σ = 6615681600. Its totient is φ = 2679350400.

The previous prime is 4242305297. The next prime is 4242305317. The reversal of 4242305313 is 3135032424.

4242305313 is a `hidden beast` number, since 4 + 2 + 42 + 305 + 313 = 666.

It is not a de Polignac number, because 4242305313 - 2⁴ = 4242305297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4242305317) 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, 4134288 + ... + 4135313.

It is an arithmetic number, because the mean of its divisors is an integer number (413480100).

Almost surely, 2^4242305313 is an apocalyptic number.

It is an amenable number.

4242305313 is a deficient number, since it is larger than the sum of its proper divisors (2373376287).

4242305313 is a wasteful number, since it uses less digits than its factorization.

4242305313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269629 (or 8269623 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4242305313 is about 65132.9817603954. The cubic root of 4242305313 is about 1618.8277493442.

Adding to 4242305313 its reverse (3135032424), we get a palindrome (7377337737).

The spelling of 4242305313 in words is "four billion, two hundred forty-two million, three hundred five thousand, three hundred thirteen".