513405 has 16 divisors (see below), whose sum is σ = 912960. Its totient is φ = 273744.

The previous prime is 513397. The next prime is 513407. The reversal of 513405 is 504315.

513405 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 513405 - 2³ = 513397 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513407) 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, 1767 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (57060).

2⁵¹³⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

513405 is a deficient number, since it is larger than the sum of its proper divisors (399555).

513405 is a wasteful number, since it uses less digits than its factorization.

513405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3811 counting only the distinct ones).

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

The square root of 513405 is about 716.5228537877. The cubic root of 513405 is about 80.0731102491.

The spelling of 513405 in words is "five hundred thirteen thousand, four hundred five".