513285 has 16 divisors (see below), whose sum is σ = 864960. Its totient is φ = 259200.

The previous prime is 513283. The next prime is 513307. The reversal of 513285 is 582315.

It is not a de Polignac number, because 513285 - 2¹ = 513283 is a prime.

It is a super-2 number, since 2×513285² = 526922982450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (54060).

2⁵¹³²⁸⁵ is an apocalyptic number.

It is an amenable number.

513285 is a deficient number, since it is larger than the sum of its proper divisors (351675).

513285 is a wasteful number, since it uses less digits than its factorization.

513285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828.

The product of its digits is 1200, while the sum is 24.

The square root of 513285 is about 716.4391111602. The cubic root of 513285 is about 80.0668711708.

The spelling of 513285 in words is "five hundred thirteen thousand, two hundred eighty-five".