252252041 has 2 divisors, whose sum is σ = 252252042. Its totient is φ = 252252040.

The previous prime is 252251983. The next prime is 252252059. The reversal of 252252041 is 140252252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176996416 + 75255625 = 13304^2 + 8675^2 .

It is a cyclic number.

It is not a de Polignac number, because 252252041 - 2¹⁴ = 252235657 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 252251998 and 252252016.

It is not a weakly prime, because it can be changed into another prime (252252841) 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, 126126020 + 126126021.

It is an arithmetic number, because the mean of its divisors is an integer number (126126021).

Almost surely, 2^252252041 is an apocalyptic number.

It is an amenable number.

252252041 is a deficient number, since it is larger than the sum of its proper divisors (1).

252252041 is an equidigital number, since it uses as much as digits as its factorization.

252252041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 252252041 is about 15882.4444277321. Note that the first 4 decimals coincide. The cubic root of 252252041 is about 631.8464691753.

The spelling of 252252041 in words is "two hundred fifty-two million, two hundred fifty-two thousand, forty-one".