507125 has 8 divisors (see below), whose sum is σ = 633048. Its totient is φ = 405600.

The previous prime is 507119. The next prime is 507137. The reversal of 507125 is 521705.

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 485809 = 146^2 + 697^2 .

It is not a de Polignac number, because 507125 - 2⁴ = 507109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 507097 and 507106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507125.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1904 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (79131).

2⁵⁰⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

507125 is a deficient number, since it is larger than the sum of its proper divisors (125923).

507125 is an equidigital number, since it uses as much as digits as its factorization.

507125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 507125 is about 712.1270953980. The cubic root of 507125 is about 79.7452836052.

The spelling of 507125 in words is "five hundred seven thousand, one hundred twenty-five".