513485 has 16 divisors (see below), whose sum is σ = 746496. Its totient is φ = 331008.

The previous prime is 513481. The next prime is 513509. The reversal of 513485 is 584315.

513485 = 106² + 107² + ... + 139².

It is a cyclic number.

It is not a de Polignac number, because 513485 - 2² = 513481 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (46656).

2⁵¹³⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

513485 is a deficient number, since it is larger than the sum of its proper divisors (233011).

513485 is a wasteful number, since it uses less digits than its factorization.

513485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its digits is 2400, while the sum is 26.

The square root of 513485 is about 716.5786767690. The cubic root of 513485 is about 80.0772690946.

The spelling of 513485 in words is "five hundred thirteen thousand, four hundred eighty-five".