507025 has 12 divisors (see below), whose sum is σ = 666252. Its totient is φ = 381440.

The previous prime is 506999. The next prime is 507029. The reversal of 507025 is 520705.

507025 = 503² + 504².

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 81 + 506944 = 9^2 + 712^2 .

It is not a de Polignac number, because 507025 - 2⁵ = 506993 is a prime.

It is a Duffinian number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 506993 and 507011.

It is not an unprimeable number, because it can be changed into a prime (507029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (55521).

2⁵⁰⁷⁰²⁵ is an apocalyptic number.

507025 is the 504-th centered square number.

It is an amenable number.

507025 is a deficient number, since it is larger than the sum of its proper divisors (159227).

507025 is a wasteful number, since it uses less digits than its factorization.

507025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 507025 is about 712.0568797505. The cubic root of 507025 is about 79.7400416020.

The spelling of 507025 in words is "five hundred seven thousand, twenty-five".