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10509913 is a prime number
BaseRepresentation
bin101000000101…
…111001011001
3201202221220001
4220011321121
510142304123
61013133001
7155222101
oct50057131
921687801
1010509913
115a29287
12362a161
13223c9ab
141578201
15dc90ad
hexa05e59

10509913 has 2 divisors, whose sum is σ = 10509914. Its totient is φ = 10509912.

The previous prime is 10509901. The next prime is 10509937. The reversal of 10509913 is 31990501.

It is the 1324-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9535744 + 974169 = 3088^2 + 987^2 .

It is an emirp because it is prime and its reverse (31990501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10509913 is a prime.

It is a super-2 number, since 2×105099132 = 220916542535138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10509943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5254956 + 5254957.

It is an arithmetic number, because the mean of its divisors is an integer number (5254957).

Almost surely, 210509913 is an apocalyptic number.

It is an amenable number.

10509913 is a deficient number, since it is larger than the sum of its proper divisors (1).

10509913 is an equidigital number, since it uses as much as digits as its factorization.

10509913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 28.

The square root of 10509913 is about 3241.8995974583. The cubic root of 10509913 is about 219.0448467055.

The spelling of 10509913 in words is "ten million, five hundred nine thousand, nine hundred thirteen".