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1053953 is a prime number
BaseRepresentation
bin100000001010100000001
31222112202022
410001110001
5232211303
634331225
711646515
oct4012401
91875668
101053953
1165a93a
12429b15
132ab954
141d6145
1515c438
hex101501

1053953 has 2 divisors, whose sum is σ = 1053954. Its totient is φ = 1053952.

The previous prime is 1053863. The next prime is 1053959. The reversal of 1053953 is 3593501.

1053953 is nontrivially palindromic in base 2 and base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 628849 + 425104 = 793^2 + 652^2 .

It is an emirp because it is prime and its reverse (3593501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1053953 - 28 = 1053697 is a prime.

It is a super-2 number, since 2×10539532 = 2221633852418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1053959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526976 + 526977.

It is an arithmetic number, because the mean of its divisors is an integer number (526977).

21053953 is an apocalyptic number.

It is an amenable number.

1053953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053953 is an equidigital number, since it uses as much as digits as its factorization.

1053953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025, while the sum is 26.

The square root of 1053953 is about 1026.6221310687. The cubic root of 1053953 is about 101.7670256269.

The spelling of 1053953 in words is "one million, fifty-three thousand, nine hundred fifty-three".