252909278441 has 2 divisors, whose sum is σ = 252909278442. Its totient is φ = 252909278440.

The previous prime is 252909278393. The next prime is 252909278459. The reversal of 252909278441 is 144872909252.

252909278441 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., 185605872400 + 67303406041 = 430820^2 + 259429^2 .

It is a cyclic number.

It is not a de Polignac number, because 252909278441 - 2³⁴ = 235729409257 is a prime.

It is not a weakly prime, because it can be changed into another prime (252909278491) 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, 126454639220 + 126454639221.

It is an arithmetic number, because the mean of its divisors is an integer number (126454639221).

Almost surely, 2^252909278441 is an apocalyptic number.

It is an amenable number.

252909278441 is a deficient number, since it is larger than the sum of its proper divisors (1).

252909278441 is an equidigital number, since it uses as much as digits as its factorization.

252909278441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 252909278441 in words is "two hundred fifty-two billion, nine hundred nine million, two hundred seventy-eight thousand, four hundred forty-one".