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13307057 is a prime number
BaseRepresentation
bin110010110000…
…110010110001
3221001001211222
4302300302301
511401311212
61153114425
7221052041
oct62606261
927031758
1013307057
117569875
124558a15
1329abbca
141aa5721
15127cc72
hexcb0cb1

13307057 has 2 divisors, whose sum is σ = 13307058. Its totient is φ = 13307056.

The previous prime is 13307051. The next prime is 13307059. The reversal of 13307057 is 75070331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13256881 + 50176 = 3641^2 + 224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13307057 is a prime.

Together with 13307059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13307051) 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, 6653528 + 6653529.

It is an arithmetic number, because the mean of its divisors is an integer number (6653529).

Almost surely, 213307057 is an apocalyptic number.

It is an amenable number.

13307057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13307057 is an equidigital number, since it uses as much as digits as its factorization.

13307057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 26.

The square root of 13307057 is about 3647.8839071440. The cubic root of 13307057 is about 236.9703476703.

Adding to 13307057 its reverse (75070331), we get a palindrome (88377388).

The spelling of 13307057 in words is "thirteen million, three hundred seven thousand, fifty-seven".