4010013 has 32 divisors (see below), whose sum is σ = 6944000. Its totient is φ = 2286144.

The previous prime is 4009991. The next prime is 4010021. The reversal of 4010013 is 3100104.

4010013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4010013 - 2¹² = 4005917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4009977 and 4010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010063) 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 31 ways as a sum of consecutive naturals, for example, 9045 + ... + 9477.

It is an arithmetic number, because the mean of its divisors is an integer number (217000).

Almost surely, 2^4010013 is an apocalyptic number.

It is an amenable number.

4010013 is a deficient number, since it is larger than the sum of its proper divisors (2933987).

4010013 is an equidigital number, since it uses as much as digits as its factorization.

4010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4010013 is about 2002.5016853925. The cubic root of 4010013 is about 158.8724502167.

Adding to 4010013 its reverse (3100104), we get a palindrome (7110117).

Subtracting from 4010013 its reverse (3100104), we obtain a palindrome (909909).

The spelling of 4010013 in words is "four million, ten thousand, thirteen".