509413 has 2 divisors, whose sum is σ = 509414. Its totient is φ = 509412.

The previous prime is 509393. The next prime is 509417. The reversal of 509413 is 314905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459684 + 49729 = 678^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 509413 - 2⁹ = 508901 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254706 + 254707.

It is an arithmetic number, because the mean of its divisors is an integer number (254707).

2⁵⁰⁹⁴¹³ is an apocalyptic number.

It is an amenable number.

509413 is a deficient number, since it is larger than the sum of its proper divisors (1).

509413 is an equidigital number, since it uses as much as digits as its factorization.

509413 is an evil number, because the sum of its binary digits is even.

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

The square root of 509413 is about 713.7317423234. The cubic root of 509413 is about 79.8650328430.

The spelling of 509413 in words is "five hundred nine thousand, four hundred thirteen".