509725 has 6 divisors (see below), whose sum is σ = 632090. Its totient is φ = 407760.

The previous prime is 509723. The next prime is 509731. The reversal of 509725 is 527905.

It can be written as a sum of positive squares in 3 ways, for example, as 133956 + 375769 = 366^2 + 613^2 .

It is not a de Polignac number, because 509725 - 2¹ = 509723 is a prime.

509725 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 509693 and 509702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10170 + ... + 10219.

2⁵⁰⁹⁷²⁵ is an apocalyptic number.

It is an amenable number.

509725 is a deficient number, since it is larger than the sum of its proper divisors (122365).

509725 is a wasteful number, since it uses less digits than its factorization.

509725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20399 (or 20394 counting only the distinct ones).

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

The square root of 509725 is about 713.9502783808. The cubic root of 509725 is about 79.8813344849.

The spelling of 509725 in words is "five hundred nine thousand, seven hundred twenty-five".