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53105729 is a prime number
BaseRepresentation
bin1100101010010…
…1010001000001
310200221001100212
43022211101001
5102043340404
65134123505
71213251125
oct312452101
9120831325
1053105729
1127a82136
1215950595
13b004c11
1470a5585
1549e006e
hex32a5441

53105729 has 2 divisors, whose sum is σ = 53105730. Its totient is φ = 53105728.

The previous prime is 53105713. The next prime is 53105743. The reversal of 53105729 is 92750135.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43864129 + 9241600 = 6623^2 + 3040^2 .

It is a cyclic number.

It is not a de Polignac number, because 53105729 - 24 = 53105713 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53105695 and 53105704.

It is not a weakly prime, because it can be changed into another prime (53105029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26552864 + 26552865.

It is an arithmetic number, because the mean of its divisors is an integer number (26552865).

Almost surely, 253105729 is an apocalyptic number.

It is an amenable number.

53105729 is a deficient number, since it is larger than the sum of its proper divisors (1).

53105729 is an equidigital number, since it uses as much as digits as its factorization.

53105729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 53105729 is about 7287.3677689547. The cubic root of 53105729 is about 375.8781883404.

The spelling of 53105729 in words is "fifty-three million, one hundred five thousand, seven hundred twenty-nine".