506115006121 has 4 divisors (see below), whose sum is σ = 506148492244. Its totient is φ = 506081520000.

The previous prime is 506115006101. The next prime is 506115006149. The reversal of 506115006121 is 121600511605.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121600511605 = 5 ⋅24320102321.

It can be written as a sum of positive squares in 2 ways, for example, as 161452079721 + 344662926400 = 401811^2 + 587080^2 .

It is a cyclic number.

It is not a de Polignac number, because 506115006121 - 2⁷ = 506115005993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506115006121.

It is not an unprimeable number, because it can be changed into a prime (506115006101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16720380 + ... + 16750621.

It is an arithmetic number, because the mean of its divisors is an integer number (126537123061).

Almost surely, 2^506115006121 is an apocalyptic number.

It is an amenable number.

506115006121 is a deficient number, since it is larger than the sum of its proper divisors (33486123).

506115006121 is a wasteful number, since it uses less digits than its factorization.

506115006121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33486122.

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 506115006121 its reverse (121600511605), we get a palindrome (627715517726).

The spelling of 506115006121 in words is "five hundred six billion, one hundred fifteen million, six thousand, one hundred twenty-one".