4606960013 has 2 divisors, whose sum is σ = 4606960014. Its totient is φ = 4606960012.

The previous prime is 4606959991. The next prime is 4606960051. The reversal of 4606960013 is 3100696064.

4606960013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3217385284 + 1389574729 = 56722^2 + 37277^2 .

It is a cyclic number.

It is not a de Polignac number, because 4606960013 - 2⁶ = 4606959949 is a prime.

It is a super-3 number, since 3×4606960013³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4606960073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2303480006 + 2303480007.

It is an arithmetic number, because the mean of its divisors is an integer number (2303480007).

Almost surely, 2^4606960013 is an apocalyptic number.

It is an amenable number.

4606960013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4606960013 is an equidigital number, since it uses as much as digits as its factorization.

4606960013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 4606960013 is about 67874.5903339387. The cubic root of 4606960013 is about 1663.9418603571.

The spelling of 4606960013 in words is "four billion, six hundred six million, nine hundred sixty thousand, thirteen".