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53106377 is a prime number
BaseRepresentation
bin1100101010010…
…1011011001001
310200221002020212
43022211123021
5102043401002
65134130505
71213253042
oct312453311
9120832225
1053106377
1127a82675
1215950a35
13b0052bc
1470a58c9
1549e0352
hex32a56c9

53106377 has 2 divisors, whose sum is σ = 53106378. Its totient is φ = 53106376.

The previous prime is 53106343. The next prime is 53106401. The reversal of 53106377 is 77360135.

53106377 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., 33223696 + 19882681 = 5764^2 + 4459^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53106377 is a prime.

It is a super-2 number, since 2×531063772 = 5640574556132258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (53106307) 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, 26553188 + 26553189.

It is an arithmetic number, because the mean of its divisors is an integer number (26553189).

Almost surely, 253106377 is an apocalyptic number.

It is an amenable number.

53106377 is a deficient number, since it is larger than the sum of its proper divisors (1).

53106377 is an equidigital number, since it uses as much as digits as its factorization.

53106377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 53106377 is about 7287.4122293171. The cubic root of 53106377 is about 375.8797171653.

The spelling of 53106377 in words is "fifty-three million, one hundred six thousand, three hundred seventy-seven".