252081123841 has 2 divisors, whose sum is σ = 252081123842. Its totient is φ = 252081123840.

The previous prime is 252081123823. The next prime is 252081123869. The reversal of 252081123841 is 148321180252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176719344400 + 75361779441 = 420380^2 + 274521^2 .

It is a cyclic number.

It is not a de Polignac number, because 252081123841 - 2⁷ = 252081123713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252081123841.

It is not a weakly prime, because it can be changed into another prime (252081223841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126040561920 + 126040561921.

It is an arithmetic number, because the mean of its divisors is an integer number (126040561921).

Almost surely, 2^252081123841 is an apocalyptic number.

It is an amenable number.

252081123841 is a deficient number, since it is larger than the sum of its proper divisors (1).

252081123841 is an equidigital number, since it uses as much as digits as its factorization.

252081123841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 252081123841 in words is "two hundred fifty-two billion, eighty-one million, one hundred twenty-three thousand, eight hundred forty-one".