252100042209809 has 2 divisors, whose sum is σ = 252100042209810. Its totient is φ = 252100042209808.

The previous prime is 252100042209797. The next prime is 252100042209811. The reversal of 252100042209809 is 908902240001252.

252100042209809 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., 132325841870209 + 119774200339600 = 11503297^2 + 10944140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252100042209809 is a prime.

Together with 252100042209811, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252100042209809.

It is not a weakly prime, because it can be changed into another prime (252100042209109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126050021104904 + 126050021104905.

It is an arithmetic number, because the mean of its divisors is an integer number (126050021104905).

Almost surely, 2^{252100042209809} is an apocalyptic number.

It is an amenable number.

252100042209809 is a deficient number, since it is larger than the sum of its proper divisors (1).

252100042209809 is an equidigital number, since it uses as much as digits as its factorization.

252100042209809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 252100042209809 in words is "two hundred fifty-two trillion, one hundred billion, forty-two million, two hundred nine thousand, eight hundred nine".