253052321 has 2 divisors, whose sum is σ = 253052322. Its totient is φ = 253052320.

The previous prime is 253052297. The next prime is 253052323. The reversal of 253052321 is 123250352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242580625 + 10471696 = 15575^2 + 3236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-253052321 is a prime.

Together with 253052323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253052323) 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, 126526160 + 126526161.

It is an arithmetic number, because the mean of its divisors is an integer number (126526161).

Almost surely, 2^253052321 is an apocalyptic number.

It is an amenable number.

253052321 is a deficient number, since it is larger than the sum of its proper divisors (1).

253052321 is an equidigital number, since it uses as much as digits as its factorization.

253052321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 253052321 is about 15907.6183321074. The cubic root of 253052321 is about 632.5139501264.

The spelling of 253052321 in words is "two hundred fifty-three million, fifty-two thousand, three hundred twenty-one".