5709013 has 2 divisors, whose sum is σ = 5709014. Its totient is φ = 5709012.

The previous prime is 5709007. The next prime is 5709019. The reversal of 5709013 is 3109075.

5709013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (5709007) and next prime (5709019).

It can be written as a sum of positive squares in only one way, i.e., 4088484 + 1620529 = 2022^2 + 1273^2 .

It is a cyclic number.

It is not a de Polignac number, because 5709013 - 2⁹ = 5708501 is a prime.

It is equal to p₃₉₄₁₈₀ and since 5709013 and 394180 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5709019) 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, 2854506 + 2854507.

It is an arithmetic number, because the mean of its divisors is an integer number (2854507).

Almost surely, 2^5709013 is an apocalyptic number.

It is an amenable number.

5709013 is a deficient number, since it is larger than the sum of its proper divisors (1).

5709013 is an equidigital number, since it uses as much as digits as its factorization.

5709013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 5709013 is about 2389.3540968220. The cubic root of 5709013 is about 178.7257016216.

The spelling of 5709013 in words is "five million, seven hundred nine thousand, thirteen".