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252585301 is a prime number
BaseRepresentation
bin11110000111000…
…10010101010101
3122121021122220011
433003202111111
51004130212201
641021440221
76154640203
oct1703422525
9577248804
10252585301
1111a63a091
1270710071
1340439377
1425790073
1517295151
hexf0e2555

252585301 has 2 divisors, whose sum is σ = 252585302. Its totient is φ = 252585300.

The previous prime is 252585251. The next prime is 252585341. The reversal of 252585301 is 103585252.

252585301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239444676 + 13140625 = 15474^2 + 3625^2 .

It is a cyclic number.

It is not a de Polignac number, because 252585301 - 27 = 252585173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252585341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126292650 + 126292651.

It is an arithmetic number, because the mean of its divisors is an integer number (126292651).

Almost surely, 2252585301 is an apocalyptic number.

It is an amenable number.

252585301 is a deficient number, since it is larger than the sum of its proper divisors (1).

252585301 is an equidigital number, since it uses as much as digits as its factorization.

252585301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 252585301 is about 15892.9324229357. The cubic root of 252585301 is about 632.1245990583.

The spelling of 252585301 in words is "two hundred fifty-two million, five hundred eighty-five thousand, three hundred one".