513225 has 18 divisors (see below), whose sum is σ = 919646. Its totient is φ = 273600.

The previous prime is 513203. The next prime is 513239. The reversal of 513225 is 522315.

513225 = T₁₉₀ + T₁₉₁ + ... + T₂₁₄.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 45369 + 467856 = 213^2 + 684^2 .

It is not a de Polignac number, because 513225 - 2⁹ = 512713 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 513198 and 513207.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513225.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 916 + ... + 1365.

2⁵¹³²²⁵ is an apocalyptic number.

It is an amenable number.

513225 is a deficient number, since it is larger than the sum of its proper divisors (406421).

513225 is a wasteful number, since it uses less digits than its factorization.

513225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2289 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 513225 is about 716.3972361756. The cubic root of 513225 is about 80.0637512670.

The spelling of 513225 in words is "five hundred thirteen thousand, two hundred twenty-five".