506110164 has 24 divisors (see below), whose sum is σ = 1349627328. Its totient is φ = 144602880.

The previous prime is 506110151. The next prime is 506110169. The reversal of 506110164 is 461011605.

It is a super-2 number, since 2×506110164² = 512294996208213792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506110169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3012477 + ... + 3012644.

It is an arithmetic number, because the mean of its divisors is an integer number (56234472).

Almost surely, 2^506110164 is an apocalyptic number.

It is an amenable number.

506110164 is an abundant number, since it is smaller than the sum of its proper divisors (843517164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506110164 is a wasteful number, since it uses less digits than its factorization.

506110164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025135 (or 6025133 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 506110164 is about 22496.8923187182. The cubic root of 506110164 is about 796.9205384387.

Adding to 506110164 its reverse (461011605), we get a palindrome (967121769).

It can be divided in two parts, 5061 and 10164, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 506110164 in words is "five hundred six million, one hundred ten thousand, one hundred sixty-four".