252033131921 has 2 divisors, whose sum is σ = 252033131922. Its totient is φ = 252033131920.

The previous prime is 252033131887. The next prime is 252033131963. The reversal of 252033131921 is 129131330252.

252033131921 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., 199729441921 + 52303690000 = 446911^2 + 228700^2 .

It is a cyclic number.

It is not a de Polignac number, because 252033131921 - 2²² = 252028937617 is a prime.

It is not a weakly prime, because it can be changed into another prime (252033131971) 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, 126016565960 + 126016565961.

It is an arithmetic number, because the mean of its divisors is an integer number (126016565961).

Almost surely, 2^252033131921 is an apocalyptic number.

It is an amenable number.

252033131921 is a deficient number, since it is larger than the sum of its proper divisors (1).

252033131921 is an equidigital number, since it uses as much as digits as its factorization.

252033131921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 252033131921 in words is "two hundred fifty-two billion, thirty-three million, one hundred thirty-one thousand, nine hundred twenty-one".