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252538313 is a prime number
BaseRepresentation
bin11110000110101…
…10110111001001
3122121012021102212
433003112313021
51004122211223
641020434505
76154353206
oct1703266711
9577167385
10252538313
1111a607855
12706a8a35
1340420b71
142577acad
1517286278
hexf0d6dc9

252538313 has 2 divisors, whose sum is σ = 252538314. Its totient is φ = 252538312.

The previous prime is 252538309. The next prime is 252538331. The reversal of 252538313 is 313835252.

Together with next prime (252538331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220581904 + 31956409 = 14852^2 + 5653^2 .

It is a cyclic number.

It is not a de Polignac number, because 252538313 - 22 = 252538309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252538313.

It is not a weakly prime, because it can be changed into another prime (252538303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126269156 + 126269157.

It is an arithmetic number, because the mean of its divisors is an integer number (126269157).

Almost surely, 2252538313 is an apocalyptic number.

It is an amenable number.

252538313 is a deficient number, since it is larger than the sum of its proper divisors (1).

252538313 is an equidigital number, since it uses as much as digits as its factorization.

252538313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21600, while the sum is 32.

The square root of 252538313 is about 15891.4540870243. The cubic root of 252538313 is about 632.0853989511.

The spelling of 252538313 in words is "two hundred fifty-two million, five hundred thirty-eight thousand, three hundred thirteen".