252120961 has 2 divisors, whose sum is σ = 252120962. Its totient is φ = 252120960.

The previous prime is 252120941. The next prime is 252120977. The reversal of 252120961 is 169021252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248661361 + 3459600 = 15769^2 + 1860^2 .

It is a cyclic number.

It is not a de Polignac number, because 252120961 - 2¹¹ = 252118913 is a prime.

It is not a weakly prime, because it can be changed into another prime (252120941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126060480 + 126060481.

It is an arithmetic number, because the mean of its divisors is an integer number (126060481).

Almost surely, 2^252120961 is an apocalyptic number.

It is an amenable number.

252120961 is a deficient number, since it is larger than the sum of its proper divisors (1).

252120961 is an equidigital number, since it uses as much as digits as its factorization.

252120961 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 28.

The square root of 252120961 is about 15878.3173226888. The cubic root of 252120961 is about 631.7370061889.

The spelling of 252120961 in words is "two hundred fifty-two million, one hundred twenty thousand, nine hundred sixty-one".