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12583679357 is a prime number
BaseRepresentation
bin10111011100000101…
…11011010101111101
31012110222102010220102
423232002323111331
5201232410214412
65440355530445
7623556336554
oct135602732575
935428363812
1012583679357
115378182607
1225322b9a25
131257067922
14875356d9b
154d9b178c2
hex2ee0bb57d

12583679357 has 2 divisors, whose sum is σ = 12583679358. Its totient is φ = 12583679356.

The previous prime is 12583679267. The next prime is 12583679393. The reversal of 12583679357 is 75397638521.

12583679357 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7926162841 + 4657516516 = 89029^2 + 68246^2 .

It is a cyclic number.

It is not a de Polignac number, because 12583679357 - 212 = 12583675261 is a prime.

It is a super-3 number, since 3×125836793573 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12583679257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6291839678 + 6291839679.

It is an arithmetic number, because the mean of its divisors is an integer number (6291839679).

Almost surely, 212583679357 is an apocalyptic number.

It is an amenable number.

12583679357 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583679357 is an equidigital number, since it uses as much as digits as its factorization.

12583679357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9525600, while the sum is 56.

The spelling of 12583679357 in words is "twelve billion, five hundred eighty-three million, six hundred seventy-nine thousand, three hundred fifty-seven".