405513 has 16 divisors (see below), whose sum is σ = 627840. Its totient is φ = 258192.

The previous prime is 405499. The next prime is 405521. The reversal of 405513 is 315504.

It is not a de Polignac number, because 405513 - 2⁴ = 405497 is a prime.

405513 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405513.

It is not an unprimeable number, because it can be changed into a prime (405553) 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, 295 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (39240).

2⁴⁰⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

405513 is a deficient number, since it is larger than the sum of its proper divisors (222327).

405513 is a wasteful number, since it uses less digits than its factorization.

405513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

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

The square root of 405513 is about 636.7990263812. The cubic root of 405513 is about 74.0175877358.

Subtracting from 405513 its reverse (315504), we obtain a palindrome (90009).

The spelling of 405513 in words is "four hundred five thousand, five hundred thirteen".