505013 has 4 divisors (see below), whose sum is σ = 518700. Its totient is φ = 491328.

The previous prime is 504991. The next prime is 505027. The reversal of 505013 is 310505.

505013 = 502² + 503².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 252004 + 253009 = 502^2 + 503^2 .

It is a cyclic number.

It is not a de Polignac number, because 505013 - 2¹⁰ = 503989 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 (505033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6788 + ... + 6861.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

2⁵⁰⁵⁰¹³ is an apocalyptic number.

505013 is the 503-rd centered square number.

It is an amenable number.

505013 is a deficient number, since it is larger than the sum of its proper divisors (13687).

505013 is a wasteful number, since it uses less digits than its factorization.

505013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13686.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 505013 is about 710.6426668868. The cubic root of 505013 is about 79.6344257379.

Adding to 505013 its reverse (310505), we get a palindrome (815518).

The spelling of 505013 in words is "five hundred five thousand, thirteen".