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2585530601 is a prime number
BaseRepresentation
bin1001101000011100…
…0001000011101001
320200012010120012122
42122013001003221
520243343434401
61104320521025
7121033435043
oct23207010351
96605116178
102585530601
111107512455
12601a80175
13322877c84
141a7556a93
15101ec321b
hex9a1c10e9

2585530601 has 2 divisors, whose sum is σ = 2585530602. Its totient is φ = 2585530600.

The previous prime is 2585530537. The next prime is 2585530687. The reversal of 2585530601 is 1060355852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2205241600 + 380289001 = 46960^2 + 19501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585530601 - 26 = 2585530537 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585530001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292765300 + 1292765301.

It is an arithmetic number, because the mean of its divisors is an integer number (1292765301).

Almost surely, 22585530601 is an apocalyptic number.

It is an amenable number.

2585530601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585530601 is an equidigital number, since it uses as much as digits as its factorization.

2585530601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 2585530601 is about 50848.1130525018. The cubic root of 2585530601 is about 1372.5132973940.

The spelling of 2585530601 in words is "two billion, five hundred eighty-five million, five hundred thirty thousand, six hundred one".