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2585010229 is a prime number
BaseRepresentation
bin1001101000010100…
…0010000000110101
320200011011010101121
42122011002000311
520243230311404
61104301423541
7121026136654
oct23205020065
96604133347
102585010229
11110719749a
1260186abb1
13322725169
141a745d19b
15101e1de54
hex9a142035

2585010229 has 2 divisors, whose sum is σ = 2585010230. Its totient is φ = 2585010228.

The previous prime is 2585010221. The next prime is 2585010289. The reversal of 2585010229 is 9220105852.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1846420900 + 738589329 = 42970^2 + 27177^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585010229 - 23 = 2585010221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2585010194 and 2585010203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585010221) 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, 1292505114 + 1292505115.

It is an arithmetic number, because the mean of its divisors is an integer number (1292505115).

Almost surely, 22585010229 is an apocalyptic number.

It is an amenable number.

2585010229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585010229 is an equidigital number, since it uses as much as digits as its factorization.

2585010229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 2585010229 is about 50842.9958696377. The cubic root of 2585010229 is about 1372.4212124386.

The spelling of 2585010229 in words is "two billion, five hundred eighty-five million, ten thousand, two hundred twenty-nine".