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12509249 is a prime number
BaseRepresentation
bin101111101110…
…000001000001
3212112112110112
4233232001001
511200243444
61124041105
7211220054
oct57560101
925475415
1012509249
117074425
124233195
13278ca2c
141938a9b
15117169e
hexbee041

12509249 has 2 divisors, whose sum is σ = 12509250. Its totient is φ = 12509248.

The previous prime is 12509243. The next prime is 12509251. The reversal of 12509249 is 94290521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12475024 + 34225 = 3532^2 + 185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12509249 is a prime.

Together with 12509251, 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 (12509243) 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, 6254624 + 6254625.

It is an arithmetic number, because the mean of its divisors is an integer number (6254625).

Almost surely, 212509249 is an apocalyptic number.

It is an amenable number.

12509249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12509249 is an equidigital number, since it uses as much as digits as its factorization.

12509249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 12509249 is about 3536.8416701911. The cubic root of 12509249 is about 232.1366676422.

The spelling of 12509249 in words is "twelve million, five hundred nine thousand, two hundred forty-nine".