2513209 has 2 divisors, whose sum is σ = 2513210. Its totient is φ = 2513208.

The previous prime is 2513197. The next prime is 2513249. The reversal of 2513209 is 9023152.

2513209 is digitally balanced in base 2, 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., 2471184 + 42025 = 1572^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513209 - 2¹¹ = 2511161 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2513209.

It is not a weakly prime, because it can be changed into another prime (2513249) 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, 1256604 + 1256605.

It is an arithmetic number, because the mean of its divisors is an integer number (1256605).

2^2513209 is an apocalyptic number.

It is an amenable number.

2513209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513209 is an equidigital number, since it uses as much as digits as its factorization.

2513209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 2513209 is about 1585.3103797049. The cubic root of 2513209 is about 135.9594926940.

The spelling of 2513209 in words is "two million, five hundred thirteen thousand, two hundred nine".