506102121 has 64 divisors (see below), whose sum is σ = 921231360. Its totient is φ = 268012800.

The previous prime is 506102119. The next prime is 506102153. The reversal of 506102121 is 121201605.

506102121 is a `hidden beast` number, since 50 + 610 + 2 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 506102121 - 2¹ = 506102119 is a prime.

It is a super-2 number, since 2×506102121² = 512278713761397282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506102094 and 506102103.

It is not an unprimeable number, because it can be changed into a prime (506102161) 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 63 ways as a sum of consecutive naturals, for example, 214096 + ... + 216446.

It is an arithmetic number, because the mean of its divisors is an integer number (14394240).

Almost surely, 2^506102121 is an apocalyptic number.

506102121 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

506102121 is a deficient number, since it is larger than the sum of its proper divisors (415129239).

506102121 is a wasteful number, since it uses less digits than its factorization.

506102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 506102121 is about 22496.7135599847. The cubic root of 506102121 is about 796.9163169166.

Adding to 506102121 its reverse (121201605), we get a palindrome (627303726).

The spelling of 506102121 in words is "five hundred six million, one hundred two thousand, one hundred twenty-one".