505510013 has 8 divisors (see below), whose sum is σ = 511569240. Its totient is φ = 499487040.

The previous prime is 505510007. The next prime is 505510037. The reversal of 505510013 is 310015505.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34316164 + 471193849 = 5858^2 + 21707^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 505510013 - 2⁴ = 505509997 is a prime.

It is a Duffinian 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 (505515013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19523 + ... + 37311.

It is an arithmetic number, because the mean of its divisors is an integer number (63946155).

Almost surely, 2^505510013 is an apocalyptic number.

It is an amenable number.

505510013 is a deficient number, since it is larger than the sum of its proper divisors (6059227).

505510013 is a wasteful number, since it uses less digits than its factorization.

505510013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18127.

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 505510013 is about 22483.5498309319. The cubic root of 505510013 is about 796.6054147998.

Adding to 505510013 its reverse (310015505), we get a palindrome (815525518).

The spelling of 505510013 in words is "five hundred five million, five hundred ten thousand, thirteen".