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2585720029 is a prime number
BaseRepresentation
bin1001101000011110…
…1111010011011101
320200012111012001111
42122013233103131
520243421020104
61104324542021
7121035154234
oct23207572335
96605435044
102585720029
111107631802
12601b51911
13322913269
141a75a5b1b
1510200e404
hex9a1ef4dd

2585720029 has 2 divisors, whose sum is σ = 2585720030. Its totient is φ = 2585720028.

The previous prime is 2585720021. The next prime is 2585720041. The reversal of 2585720029 is 9200275852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2068157529 + 517562500 = 45477^2 + 22750^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585720029 - 23 = 2585720021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2585719973 and 2585720000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585720021) 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, 1292860014 + 1292860015.

It is an arithmetic number, because the mean of its divisors is an integer number (1292860015).

Almost surely, 22585720029 is an apocalyptic number.

It is an amenable number.

2585720029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585720029 is an equidigital number, since it uses as much as digits as its factorization.

2585720029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 2585720029 is about 50849.9757030424. The cubic root of 2585720029 is about 1372.5468154785.

The spelling of 2585720029 in words is "two billion, five hundred eighty-five million, seven hundred twenty thousand, twenty-nine".