4137013 has 2 divisors, whose sum is σ = 4137014. Its totient is φ = 4137012.

The previous prime is 4136999. The next prime is 4137031. The reversal of 4137013 is 3107314.

4137013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (4137031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3908529 + 228484 = 1977^2 + 478^2 .

It is a cyclic number.

It is not a de Polignac number, because 4137013 - 2¹³ = 4128821 is a prime.

It is a super-2 number, since 2×4137013² = 34229753124338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4137083) 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, 2068506 + 2068507.

It is an arithmetic number, because the mean of its divisors is an integer number (2068507).

Almost surely, 2^4137013 is an apocalyptic number.

It is an amenable number.

4137013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4137013 is an equidigital number, since it uses as much as digits as its factorization.

4137013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 4137013 is about 2033.9648472872. The cubic root of 4137013 is about 160.5322509053.

The spelling of 4137013 in words is "four million, one hundred thirty-seven thousand, thirteen".