252825101 has 2 divisors, whose sum is σ = 252825102. Its totient is φ = 252825100.

The previous prime is 252825091. The next prime is 252825163. The reversal of 252825101 is 101528252.

252825101 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., 141015625 + 111809476 = 11875^2 + 10574^2 .

It is a cyclic number.

It is not a de Polignac number, because 252825101 - 2¹⁸ = 252562957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252825401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126412550 + 126412551.

It is an arithmetic number, because the mean of its divisors is an integer number (126412551).

Almost surely, 2^252825101 is an apocalyptic number.

It is an amenable number.

252825101 is a deficient number, since it is larger than the sum of its proper divisors (1).

252825101 is an equidigital number, since it uses as much as digits as its factorization.

252825101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 252825101 is about 15900.4748671227. The cubic root of 252825101 is about 632.3245784096.

The spelling of 252825101 in words is "two hundred fifty-two million, eight hundred twenty-five thousand, one hundred one".