505413 has 8 divisors (see below), whose sum is σ = 748800. Its totient is φ = 336924.

The previous prime is 505411. The next prime is 505429. The reversal of 505413 is 314505.

It is not a de Polignac number, because 505413 - 2¹ = 505411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9333 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (93600).

2⁵⁰⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

505413 is a deficient number, since it is larger than the sum of its proper divisors (243387).

505413 is a wasteful number, since it uses less digits than its factorization.

505413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18728 (or 18722 counting only the distinct ones).

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

The square root of 505413 is about 710.9240465760. The cubic root of 505413 is about 79.6554452390.

Adding to 505413 its reverse (314505), we get a palindrome (819918).

The spelling of 505413 in words is "five hundred five thousand, four hundred thirteen".