509025 has 24 divisors (see below), whose sum is σ = 919584. Its totient is φ = 246400.

The previous prime is 509023. The next prime is 509027. The reversal of 509025 is 520905.

It is an interprime number because it is at equal distance from previous prime (509023) and next prime (509027).

It is not a de Polignac number, because 509025 - 2¹ = 509023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 508992 and 509010.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509025.

It is not an unprimeable number, because it can be changed into a prime (509023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (38316).

2⁵⁰⁹⁰²⁵ is an apocalyptic number.

509025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

509025 is a deficient number, since it is larger than the sum of its proper divisors (410559).

509025 is a wasteful number, since it uses less digits than its factorization.

509025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 509025 is about 713.4598797410. The cubic root of 509025 is about 79.8447510001.

It can be divided in two parts, 5090 and 25, that added together give a palindrome (5115).

The spelling of 509025 in words is "five hundred nine thousand, twenty-five".