509125 has 8 divisors (see below), whose sum is σ = 635544. Its totient is φ = 407200.

The previous prime is 509123. The next prime is 509137. The reversal of 509125 is 521905.

It can be written as a sum of positive squares in 4 ways, for example, as 91809 + 417316 = 303^2 + 646^2 .

It is not a de Polignac number, because 509125 - 2¹ = 509123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509096 and 509105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1912 + ... + 2161.

It is an arithmetic number, because the mean of its divisors is an integer number (79443).

2⁵⁰⁹¹²⁵ is an apocalyptic number.

It is an amenable number.

509125 is a deficient number, since it is larger than the sum of its proper divisors (126419).

509125 is an equidigital number, since it uses as much as digits as its factorization.

509125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 509125 is about 713.5299573248. The cubic root of 509125 is about 79.8499792648.

The spelling of 509125 in words is "five hundred nine thousand, one hundred twenty-five".