513101 has 2 divisors, whose sum is σ = 513102. Its totient is φ = 513100.

The previous prime is 513083. The next prime is 513103. The reversal of 513101 is 101315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 422500 + 90601 = 650^2 + 301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513101 is a prime.

Together with 513103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513103) 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, 256550 + 256551.

It is an arithmetic number, because the mean of its divisors is an integer number (256551).

2⁵¹³¹⁰¹ is an apocalyptic number.

It is an amenable number.

513101 is a deficient number, since it is larger than the sum of its proper divisors (1).

513101 is an equidigital number, since it uses as much as digits as its factorization.

513101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 513101 is about 716.3106867833. The cubic root of 513101 is about 80.0573026952.

Adding to 513101 its reverse (101315), we get a palindrome (614416).

The spelling of 513101 in words is "five hundred thirteen thousand, one hundred one".