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53085797 is a prime number
BaseRepresentation
bin1100101010000…
…0011001100101
310200220001000122
43022200121211
5102042221142
65133451325
71213136042
oct312403145
9120801018
1053085797
1127a69166
1215940b45
13acc8b1b
14709c1c9
1549d91d2
hex32a0665

53085797 has 2 divisors, whose sum is σ = 53085798. Its totient is φ = 53085796.

The previous prime is 53085763. The next prime is 53085811. The reversal of 53085797 is 79758035.

It is a happy number.

It is a Cunningham number, because it is equal to 72862+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53085796 + 1 = 7286^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53085797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53085727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26542898 + 26542899.

It is an arithmetic number, because the mean of its divisors is an integer number (26542899).

Almost surely, 253085797 is an apocalyptic number.

It is an amenable number.

53085797 is a deficient number, since it is larger than the sum of its proper divisors (1).

53085797 is an equidigital number, since it uses as much as digits as its factorization.

53085797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The square root of 53085797 is about 7286.0000686248. Note that the first 4 decimals coincide. The cubic root of 53085797 is about 375.8311567445.

The spelling of 53085797 in words is "fifty-three million, eighty-five thousand, seven hundred ninety-seven".