252404345201 has 2 divisors, whose sum is σ = 252404345202. Its totient is φ = 252404345200.

The previous prime is 252404345197. The next prime is 252404345213. The reversal of 252404345201 is 102543404252.

252404345201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245793842176 + 6610503025 = 495776^2 + 81305^2 .

It is a cyclic number.

It is not a de Polignac number, because 252404345201 - 2² = 252404345197 is a prime.

It is not a weakly prime, because it can be changed into another prime (252404345101) 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, 126202172600 + 126202172601.

It is an arithmetic number, because the mean of its divisors is an integer number (126202172601).

Almost surely, 2^252404345201 is an apocalyptic number.

It is an amenable number.

252404345201 is a deficient number, since it is larger than the sum of its proper divisors (1).

252404345201 is an equidigital number, since it uses as much as digits as its factorization.

252404345201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 252404345201 its reverse (102543404252), we get a palindrome (354947749453).

The spelling of 252404345201 in words is "two hundred fifty-two billion, four hundred four million, three hundred forty-five thousand, two hundred one".