513025 has 6 divisors (see below), whose sum is σ = 636182. Its totient is φ = 410400.

The previous prime is 513017. The next prime is 513031. The reversal of 513025 is 520315.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 461041 = 228^2 + 679^2 .

It is not a de Polignac number, because 513025 - 2³ = 513017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10236 + ... + 10285.

It is a Proth number, since it is equal to 501 ⋅ 2¹⁰ + 1 and 501 < 2¹⁰.

2⁵¹³⁰²⁵ is an apocalyptic number.

It is an amenable number.

513025 is a deficient number, since it is larger than the sum of its proper divisors (123157).

513025 is a wasteful number, since it uses less digits than its factorization.

513025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20531 (or 20526 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 513025 is about 716.2576352124. The cubic root of 513025 is about 80.0533498312.

The spelling of 513025 in words is "five hundred thirteen thousand, twenty-five".