506125121 has 2 divisors, whose sum is σ = 506125122. Its totient is φ = 506125120.

The previous prime is 506125073. The next prime is 506125129. The reversal of 506125121 is 121521605.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 419430400 + 86694721 = 20480^2 + 9311^2 .

It is a cyclic number.

It is not a de Polignac number, because 506125121 - 2⁶ = 506125057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506125129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253062560 + 253062561.

It is an arithmetic number, because the mean of its divisors is an integer number (253062561).

Almost surely, 2^506125121 is an apocalyptic number.

It is an amenable number.

506125121 is a deficient number, since it is larger than the sum of its proper divisors (1).

506125121 is an equidigital number, since it uses as much as digits as its factorization.

506125121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 506125121 is about 22497.2247399540. The cubic root of 506125121 is about 796.9283887870.

Adding to 506125121 its reverse (121521605), we get a palindrome (627646726).

The spelling of 506125121 in words is "five hundred six million, one hundred twenty-five thousand, one hundred twenty-one".