252112225121 has 2 divisors, whose sum is σ = 252112225122. Its totient is φ = 252112225120.

The previous prime is 252112225097. The next prime is 252112225133. The reversal of 252112225121 is 121522211252.

252112225121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251964845521 + 147379600 = 501961^2 + 12140^2 .

It is a cyclic number.

It is not a de Polignac number, because 252112225121 - 2¹⁴ = 252112208737 is a prime.

It is not a weakly prime, because it can be changed into another prime (252112221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126056112560 + 126056112561.

It is an arithmetic number, because the mean of its divisors is an integer number (126056112561).

Almost surely, 2^252112225121 is an apocalyptic number.

It is an amenable number.

252112225121 is a deficient number, since it is larger than the sum of its proper divisors (1).

252112225121 is an equidigital number, since it uses as much as digits as its factorization.

252112225121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1600, while the sum is 26.

Adding to 252112225121 its reverse (121522211252), we get a palindrome (373634436373).

The spelling of 252112225121 in words is "two hundred fifty-two billion, one hundred twelve million, two hundred twenty-five thousand, one hundred twenty-one".