252123300161 has 2 divisors, whose sum is σ = 252123300162. Its totient is φ = 252123300160.

The previous prime is 252123300119. The next prime is 252123300179. The reversal of 252123300161 is 161003321252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222000226561 + 30123073600 = 471169^2 + 173560^2 .

It is a cyclic number.

It is not a de Polignac number, because 252123300161 - 2⁶ = 252123300097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252123300161.

It is not a weakly prime, because it can be changed into another prime (252123300181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126061650080 + 126061650081.

It is an arithmetic number, because the mean of its divisors is an integer number (126061650081).

Almost surely, 2^252123300161 is an apocalyptic number.

It is an amenable number.

252123300161 is a deficient number, since it is larger than the sum of its proper divisors (1).

252123300161 is an equidigital number, since it uses as much as digits as its factorization.

252123300161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 252123300161 in words is "two hundred fifty-two billion, one hundred twenty-three million, three hundred thousand, one hundred sixty-one".