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12506876257 is a prime number
BaseRepresentation
bin10111010010111011…
…11100100101100001
31012021121220010212011
423221131330211201
5201103230020012
65425013432521
7621634460041
oct135135744541
935247803764
1012506876257
115338895277
12251063b741
1312441866c5
14869083721
154d2ee61a7
hex2e977c961

12506876257 has 2 divisors, whose sum is σ = 12506876258. Its totient is φ = 12506876256.

The previous prime is 12506876233. The next prime is 12506876269. The reversal of 12506876257 is 75267860521.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7357522176 + 5149354081 = 85776^2 + 71759^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12506876257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12506876257.

It is not a weakly prime, because it can be changed into another prime (12506876287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6253438128 + 6253438129.

It is an arithmetic number, because the mean of its divisors is an integer number (6253438129).

Almost surely, 212506876257 is an apocalyptic number.

It is an amenable number.

12506876257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12506876257 is an equidigital number, since it uses as much as digits as its factorization.

12506876257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 12506876257 in words is "twelve billion, five hundred six million, eight hundred seventy-six thousand, two hundred fifty-seven".