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53115329 is a prime number
BaseRepresentation
bin1100101010011…
…1100111000001
310200221112112102
43022213213001
5102044142304
65134240145
71213321121
oct312474701
9120845472
1053115329
1127a89373
1215956055
13b0093b7
1470a8c81
1549e2d1e
hex32a79c1

53115329 has 2 divisors, whose sum is σ = 53115330. Its totient is φ = 53115328.

The previous prime is 53115301. The next prime is 53115331. The reversal of 53115329 is 92351135.

53115329 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., 49674304 + 3441025 = 7048^2 + 1855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53115329 is a prime.

It is a Sophie Germain prime.

Together with 53115331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (53115229) 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, 26557664 + 26557665.

It is an arithmetic number, because the mean of its divisors is an integer number (26557665).

Almost surely, 253115329 is an apocalyptic number.

It is an amenable number.

53115329 is a deficient number, since it is larger than the sum of its proper divisors (1).

53115329 is an equidigital number, since it uses as much as digits as its factorization.

53115329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4050, while the sum is 29.

The square root of 53115329 is about 7288.0264132342. The cubic root of 53115329 is about 375.9008363250.

The spelling of 53115329 in words is "fifty-three million, one hundred fifteen thousand, three hundred twenty-nine".