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53135177 is a prime number
BaseRepresentation
bin1100101010110…
…0011101001001
310200222112202112
43022230131021
5102100311202
65134512105
71213433024
oct312543511
9120875675
1053135177
1127aa2277
1215965635
13b015444
1470b21bb
1549e8b52
hex32ac749

53135177 has 2 divisors, whose sum is σ = 53135178. Its totient is φ = 53135176.

The previous prime is 53135171. The next prime is 53135179. The reversal of 53135177 is 77153135.

53135177 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., 49336576 + 3798601 = 7024^2 + 1949^2 .

It is a cyclic number.

It is not a de Polignac number, because 53135177 - 218 = 52873033 is a prime.

Together with 53135179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (53135171) 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, 26567588 + 26567589.

It is an arithmetic number, because the mean of its divisors is an integer number (26567589).

Almost surely, 253135177 is an apocalyptic number.

It is an amenable number.

53135177 is a deficient number, since it is larger than the sum of its proper divisors (1).

53135177 is an equidigital number, since it uses as much as digits as its factorization.

53135177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11025, while the sum is 32.

The square root of 53135177 is about 7289.3879715652. The cubic root of 53135177 is about 375.9476523812.

The spelling of 53135177 in words is "fifty-three million, one hundred thirty-five thousand, one hundred seventy-seven".