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252214013 is a prime number
BaseRepresentation
bin11110000100001…
…11101011111101
3122120120210120202
433002013223331
51004031322023
641005453245
76151532552
oct1702075375
9576523522
10252214013
1111a406137
1270571225
134033937c
14256d4a29
1517220128
hexf087afd

252214013 has 2 divisors, whose sum is σ = 252214014. Its totient is φ = 252214012.

The previous prime is 252214007. The next prime is 252214031. The reversal of 252214013 is 310412252.

Together with next prime (252214031) 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., 235868164 + 16345849 = 15358^2 + 4043^2 .

It is a cyclic number.

It is not a de Polignac number, because 252214013 - 224 = 235436797 is a prime.

It is a super-2 number, since 2×2522140132 = 127223816707128338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252214003) 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, 126107006 + 126107007.

It is an arithmetic number, because the mean of its divisors is an integer number (126107007).

Almost surely, 2252214013 is an apocalyptic number.

It is an amenable number.

252214013 is a deficient number, since it is larger than the sum of its proper divisors (1).

252214013 is an equidigital number, since it uses as much as digits as its factorization.

252214013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 252214013 is about 15881.2472117274. The cubic root of 252214013 is about 631.8147164556.

Adding to 252214013 its reverse (310412252), we get a palindrome (562626265).

The spelling of 252214013 in words is "two hundred fifty-two million, two hundred fourteen thousand, thirteen".