252533509 has 2 divisors, whose sum is σ = 252533510. Its totient is φ = 252533508.

The previous prime is 252533507. The next prime is 252533543. The reversal of 252533509 is 905335252.

252533509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (252533543) can be obtained adding 252533509 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188293284 + 64240225 = 13722^2 + 8015^2 .

It is a cyclic number.

It is not a de Polignac number, because 252533509 - 2¹ = 252533507 is a prime.

Together with 252533507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252533507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126266754 + 126266755.

It is an arithmetic number, because the mean of its divisors is an integer number (126266755).

Almost surely, 2^252533509 is an apocalyptic number.

It is an amenable number.

252533509 is a deficient number, since it is larger than the sum of its proper divisors (1).

252533509 is an equidigital number, since it uses as much as digits as its factorization.

252533509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 252533509 is about 15891.3029358829. The cubic root of 252533509 is about 632.0813909024.

The spelling of 252533509 in words is "two hundred fifty-two million, five hundred thirty-three thousand, five hundred nine".