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258585773969 is a prime number
BaseRepresentation
bin1111000011010011101…
…0011100011110010001
3220201110021202100211202
43300310322130132101
513214040424231334
6314443114320545
724452665545515
oct3606472343621
9821407670752
10258585773969
119a735a23316
1242147a29155
131b4cca89613
14c730bdc145
156ad697217e
hex3c34e9c791

258585773969 has 2 divisors, whose sum is σ = 258585773970. Its totient is φ = 258585773968.

The previous prime is 258585773911. The next prime is 258585774047. The reversal of 258585773969 is 969377585852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195109490944 + 63476283025 = 441712^2 + 251945^2 .

It is a cyclic number.

It is not a de Polignac number, because 258585773969 - 212 = 258585769873 is a prime.

It is a super-2 number, since 2×2585857739692 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 258585773896 and 258585773905.

It is not a weakly prime, because it can be changed into another prime (258585773269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129292886984 + 129292886985.

It is an arithmetic number, because the mean of its divisors is an integer number (129292886985).

Almost surely, 2258585773969 is an apocalyptic number.

It is an amenable number.

258585773969 is a deficient number, since it is larger than the sum of its proper divisors (1).

258585773969 is an equidigital number, since it uses as much as digits as its factorization.

258585773969 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1143072000, while the sum is 74.

The spelling of 258585773969 in words is "two hundred fifty-eight billion, five hundred eighty-five million, seven hundred seventy-three thousand, nine hundred sixty-nine".