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825803053 is a prime number
BaseRepresentation
bin110001001110001…
…100000100101101
32010112220010211021
4301032030010231
53142401144203
6213535454141
726315132035
oct6116140455
92115803737
10825803053
11394165069
121b0687351
1310211877a
147b9648c5
154c7725bd
hex3138c12d

825803053 has 2 divisors, whose sum is σ = 825803054. Its totient is φ = 825803052.

The previous prime is 825803051. The next prime is 825803071. The reversal of 825803053 is 350308528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 632120164 + 193682889 = 25142^2 + 13917^2 .

It is a cyclic number.

It is not a de Polignac number, because 825803053 - 21 = 825803051 is a prime.

Together with 825803051, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825803051) 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, 412901526 + 412901527.

It is an arithmetic number, because the mean of its divisors is an integer number (412901527).

Almost surely, 2825803053 is an apocalyptic number.

It is an amenable number.

825803053 is a deficient number, since it is larger than the sum of its proper divisors (1).

825803053 is an equidigital number, since it uses as much as digits as its factorization.

825803053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 825803053 is about 28736.7891908613. The cubic root of 825803053 is about 938.1929418690.

The spelling of 825803053 in words is "eight hundred twenty-five million, eight hundred three thousand, fifty-three".