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12585783251 is a prime number
BaseRepresentation
bin10111011100010101…
…11100111111010011
31012111010101000220102
423232022330333103
5201233430031001
65440513003015
7623613251426
oct135612747723
935433330812
1012585783251
11537938a268
122532b5346b
131257623432
148757439bd
154d9dd0e6b
hex2ee2bcfd3

12585783251 has 2 divisors, whose sum is σ = 12585783252. Its totient is φ = 12585783250.

The previous prime is 12585783229. The next prime is 12585783253. The reversal of 12585783251 is 15238758521.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12585783251 is a prime.

It is a Sophie Germain prime.

Together with 12585783253, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12585783196 and 12585783205.

It is not a weakly prime, because it can be changed into another prime (12585783253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6292891625 + 6292891626.

It is an arithmetic number, because the mean of its divisors is an integer number (6292891626).

Almost surely, 212585783251 is an apocalyptic number.

12585783251 is a deficient number, since it is larger than the sum of its proper divisors (1).

12585783251 is an equidigital number, since it uses as much as digits as its factorization.

12585783251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672000, while the sum is 47.

The spelling of 12585783251 in words is "twelve billion, five hundred eighty-five million, seven hundred eighty-three thousand, two hundred fifty-one".