505005101121 has 16 divisors (see below), whose sum is σ = 704082677760. Its totient is φ = 321359916240.

The previous prime is 505005101099. The next prime is 505005101173. The reversal of 505005101121 is 121101500505.

It is not a de Polignac number, because 505005101121 - 2⁷ = 505005100993 is a prime.

It is a super-3 number, since 3×505005101121³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (505005101221) 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, 7606735 + ... + 7672836.

It is an arithmetic number, because the mean of its divisors is an integer number (44005167360).

Almost surely, 2^505005101121 is an apocalyptic number.

It is an amenable number.

505005101121 is a deficient number, since it is larger than the sum of its proper divisors (199077576639).

505005101121 is a wasteful number, since it uses less digits than its factorization.

505005101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280076.

The product of its (nonzero) digits is 250, while the sum is 21.

Adding to 505005101121 its reverse (121101500505), we get a palindrome (626106601626).

The spelling of 505005101121 in words is "five hundred five billion, five million, one hundred one thousand, one hundred twenty-one".