65053 has 2 divisors, whose sum is σ = 65054. Its totient is φ = 65052.

The previous prime is 65033. The next prime is 65063. The reversal of 65053 is 35056.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38809 + 26244 = 197^2 + 162^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 65053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32526 + 32527.

It is an arithmetic number, because the mean of its divisors is an integer number (32527).

2⁶⁵⁰⁵³ is an apocalyptic number.

It is an amenable number.

65053 is a deficient number, since it is larger than the sum of its proper divisors (1).

65053 is an equidigital number, since it uses as much as digits as its factorization.

65053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 65053 is about 255.0548960518. The cubic root of 65053 is about 40.2181827434.

It can be divided in two parts, 650 and 53, that added together give a triangular number (703 = T₃₇).

The spelling of 65053 in words is "sixty-five thousand, fifty-three".