2053 has 2 divisors, whose sum is σ = 2054. Its totient is φ = 2052.

The previous prime is 2039. The next prime is 2063. The reversal of 2053 is 3502.

2053 is nontrivially palindromic in base 13.

It is the 19-th star number.

It is an a-pointer prime, because the next prime (2063) can be obtained adding 2053 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 289 = 42^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 2053 - 2^{11} = 5 is a prime.

2053 is an undulating number in base 13.

2053 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1026 + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (1027).

2^{2053} is an apocalyptic number.

It is an amenable number.

2053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053 is an equidigital number, since it uses as much as digits as its factorization.

2053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 2053 is about 45.3100430368. The cubic root of 2053 is about 12.7095346590.

Adding to 2053 its reverse (3502), we get a palindrome (5555).

The spelling of 2053 in words is "two thousand, fifty-three".

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