509275 has 12 divisors (see below), whose sum is σ = 680512. Its totient is φ = 375840.

The previous prime is 509263. The next prime is 509281. The reversal of 509275 is 572905.

It is not a de Polignac number, because 509275 - 2⁷ = 509147 is a prime.

It is a super-2 number, since 2×509275² = 518722051250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459 + ... + 1108.

2⁵⁰⁹²⁷⁵ is an apocalyptic number.

509275 is a deficient number, since it is larger than the sum of its proper divisors (171237).

509275 is a wasteful number, since it uses less digits than its factorization.

509275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 509275 is about 713.6350607979. The cubic root of 509275 is about 79.8578203783.

It can be divided in two parts, 509 and 275, that added together give a square (784 = 28²).

The spelling of 509275 in words is "five hundred nine thousand, two hundred seventy-five".