5742509 has 2 divisors, whose sum is σ = 5742510. Its totient is φ = 5742508.

The previous prime is 5742469. The next prime is 5742523. The reversal of 5742509 is 9052475.

5742509 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5221225 + 521284 = 2285^2 + 722^2 .

It is a cyclic number.

It is not a de Polignac number, because 5742509 - 2¹⁶ = 5676973 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5742599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2871254 + 2871255.

It is an arithmetic number, because the mean of its divisors is an integer number (2871255).

Almost surely, 2^5742509 is an apocalyptic number.

It is an amenable number.

5742509 is a deficient number, since it is larger than the sum of its proper divisors (1).

5742509 is an equidigital number, since it uses as much as digits as its factorization.

5742509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 5742509 is about 2396.3532711184. The cubic root of 5742509 is about 179.0745608671.

The spelling of 5742509 in words is "five million, seven hundred forty-two thousand, five hundred nine".