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2585513327 is a prime number
BaseRepresentation
bin1001101000011011…
…1100110101101111
320200012002200111212
42122012330311233
520243342411302
61104320305035
7121033333505
oct23206746557
96605080455
102585513327
111107500481
12601a7217b
13322870157
141a7550675
15101ebd052
hex9a1bcd6f

2585513327 has 2 divisors, whose sum is σ = 2585513328. Its totient is φ = 2585513326.

The previous prime is 2585513297. The next prime is 2585513339. The reversal of 2585513327 is 7233155852.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2585513327 - 26 = 2585513263 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585513347) 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, 1292756663 + 1292756664.

It is an arithmetic number, because the mean of its divisors is an integer number (1292756664).

Almost surely, 22585513327 is an apocalyptic number.

2585513327 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585513327 is an equidigital number, since it uses as much as digits as its factorization.

2585513327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252000, while the sum is 41.

The square root of 2585513327 is about 50847.9431934075. The cubic root of 2585513327 is about 1372.5102407876.

The spelling of 2585513327 in words is "two billion, five hundred eighty-five million, five hundred thirteen thousand, three hundred twenty-seven".