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53085941 is a prime number
BaseRepresentation
bin1100101010000…
…0011011110101
310200220001012222
43022200123311
5102042222231
65133452125
71213136336
oct312403365
9120801188
1053085941
1127a69287
1215941045
13acc8bcc
14709c28d
1549d927b
hex32a06f5

53085941 has 2 divisors, whose sum is σ = 53085942. Its totient is φ = 53085940.

The previous prime is 53085911. The next prime is 53085947. The reversal of 53085941 is 14958035.

53085941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42523441 + 10562500 = 6521^2 + 3250^2 .

It is a cyclic number.

It is not a de Polignac number, because 53085941 - 214 = 53069557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53085947) 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, 26542970 + 26542971.

It is an arithmetic number, because the mean of its divisors is an integer number (26542971).

Almost surely, 253085941 is an apocalyptic number.

It is an amenable number.

53085941 is a deficient number, since it is larger than the sum of its proper divisors (1).

53085941 is an equidigital number, since it uses as much as digits as its factorization.

53085941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 53085941 is about 7286.0099505834. The cubic root of 53085941 is about 375.8314965695.

The spelling of 53085941 in words is "fifty-three million, eighty-five thousand, nine hundred forty-one".