505406121 has 16 divisors (see below), whose sum is σ = 742419648. Its totient is φ = 303272000.

The previous prime is 505406101. The next prime is 505406123. The reversal of 505406121 is 121604505.

It is a cyclic number.

It is not a de Polignac number, because 505406121 - 2⁵ = 505406089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505406091 and 505406100.

It is not an unprimeable number, because it can be changed into a prime (505406123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72486 + ... + 79151.

It is an arithmetic number, because the mean of its divisors is an integer number (46401228).

Almost surely, 2^505406121 is an apocalyptic number.

It is an amenable number.

505406121 is a deficient number, since it is larger than the sum of its proper divisors (237013527).

505406121 is a wasteful number, since it uses less digits than its factorization.

505406121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151752.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 505406121 is about 22481.2393119241. The cubic root of 505406121 is about 796.5508384987.

The spelling of 505406121 in words is "five hundred five million, four hundred six thousand, one hundred twenty-one".