2013001 has 2 divisors, whose sum is σ = 2013002. Its totient is φ = 2013000.

The previous prime is 2012971. The next prime is 2013013. The reversal of 2013001 is 1003102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1334025 + 678976 = 1155^2 + 824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013001 - 2¹³ = 2004809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013071) 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, 1006500 + 1006501.

It is an arithmetic number, because the mean of its divisors is an integer number (1006501).

2^2013001 is an apocalyptic number.

It is an amenable number.

2013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013001 is an equidigital number, since it uses as much as digits as its factorization.

2013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2013001 is about 1418.8026642208. The cubic root of 2013001 is about 126.2645194555.

Adding to 2013001 its reverse (1003102), we get a palindrome (3016103).

The spelling of 2013001 in words is "two million, thirteen thousand, one".