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252603853 is a prime number
BaseRepresentation
bin11110000111001…
…10110111001101
3122121022121100021
433003212313031
51004131310403
641022102141
76155045245
oct1703466715
9577277307
10252603853
1111a652017
127071a951
1340444948
1425796b25
151729a8bd
hexf0e6dcd

252603853 has 2 divisors, whose sum is σ = 252603854. Its totient is φ = 252603852.

The previous prime is 252603851. The next prime is 252603863. The reversal of 252603853 is 358306252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136352329 + 116251524 = 11677^2 + 10782^2 .

It is a cyclic number.

It is not a de Polignac number, because 252603853 - 21 = 252603851 is a prime.

Together with 252603851, 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 (252603851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126301926 + 126301927.

It is an arithmetic number, because the mean of its divisors is an integer number (126301927).

Almost surely, 2252603853 is an apocalyptic number.

It is an amenable number.

252603853 is a deficient number, since it is larger than the sum of its proper divisors (1).

252603853 is an equidigital number, since it uses as much as digits as its factorization.

252603853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 252603853 is about 15893.5160678813. The cubic root of 252603853 is about 632.1400748711.

The spelling of 252603853 in words is "two hundred fifty-two million, six hundred three thousand, eight hundred fifty-three".