505005131 has 16 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 488772960.

The previous prime is 505005121. The next prime is 505005143. The reversal of 505005131 is 131500505.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 505005131 - 2¹⁰ = 505004107 is a prime.

It is a super-2 number, since 2×505005131² = 510060364672654322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505005121) 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, 1723421 + ... + 1723713.

It is an arithmetic number, because the mean of its divisors is an integer number (32598720).

Almost surely, 2^505005131 is an apocalyptic number.

505005131 is a deficient number, since it is larger than the sum of its proper divisors (16574389).

505005131 is a wasteful number, since it uses less digits than its factorization.

505005131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706.

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

The square root of 505005131 is about 22472.3192172059. The cubic root of 505005131 is about 796.3401212043.

Adding to 505005131 its reverse (131500505), we get a palindrome (636505636).

The spelling of 505005131 in words is "five hundred five million, five thousand, one hundred thirty-one".