513053 has 2 divisors, whose sum is σ = 513054. Its totient is φ = 513052.

The previous prime is 513047. The next prime is 513059. The reversal of 513053 is 350315.

It is a balanced prime because it is at equal distance from previous prime (513047) and next prime (513059).

It can be written as a sum of positive squares in only one way, i.e., 432964 + 80089 = 658^2 + 283^2 .

It is a cyclic number.

It is not a de Polignac number, because 513053 - 2⁶ = 512989 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513059) 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, 256526 + 256527.

It is an arithmetic number, because the mean of its divisors is an integer number (256527).

2⁵¹³⁰⁵³ is an apocalyptic number.

It is an amenable number.

513053 is a deficient number, since it is larger than the sum of its proper divisors (1).

513053 is an equidigital number, since it uses as much as digits as its factorization.

513053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 513053 is about 716.2771809851. The cubic root of 513053 is about 80.0548061949.

Adding to 513053 its reverse (350315), we get a palindrome (863368).

The spelling of 513053 in words is "five hundred thirteen thousand, fifty-three".