509351 has 4 divisors (see below), whose sum is σ = 511032. Its totient is φ = 507672.

The previous prime is 509329. The next prime is 509359. The reversal of 509351 is 153905.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 153905 = 5 ⋅30781.

It is a cyclic number.

It is not a de Polignac number, because 509351 - 2⁶ = 509287 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 245 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (127758).

2⁵⁰⁹³⁵¹ is an apocalyptic number.

509351 is a deficient number, since it is larger than the sum of its proper divisors (1681).

509351 is a wasteful number, since it uses less digits than its factorization.

509351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 509351 is about 713.6883073163. The cubic root of 509351 is about 79.8617926215.

The spelling of 509351 in words is "five hundred nine thousand, three hundred fifty-one".