506363605 has 16 divisors (see below), whose sum is σ = 668104704. Its totient is φ = 365359680.

The previous prime is 506363603. The next prime is 506363621.

It is a happy number.

506363605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506363605 - 2¹ = 506363603 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 (506363603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29262 + ... + 43231.

It is an arithmetic number, because the mean of its divisors is an integer number (41756544).

Almost surely, 2^506363605 is an apocalyptic number.

506363605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506363605 is a deficient number, since it is larger than the sum of its proper divisors (161741099).

506363605 is a wasteful number, since it uses less digits than its factorization.

506363605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72636.

The product of its (nonzero) digits is 48600, while the sum is 34.

The square root of 506363605 is about 22502.5244139408. The cubic root of 506363605 is about 797.0535388858.

The spelling of 506363605 in words is "five hundred six million, three hundred sixty-three thousand, six hundred five".