513697 has 2 divisors, whose sum is σ = 513698. Its totient is φ = 513696.

The previous prime is 513691. The next prime is 513719. The reversal of 513697 is 796315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 239121 = 524^2 + 489^2 .

It is a cyclic number.

It is not a de Polignac number, because 513697 - 2¹⁵ = 480929 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513691) 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, 256848 + 256849.

It is an arithmetic number, because the mean of its divisors is an integer number (256849).

2⁵¹³⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

513697 is a deficient number, since it is larger than the sum of its proper divisors (1).

513697 is an equidigital number, since it uses as much as digits as its factorization.

513697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 31.

The square root of 513697 is about 716.7265866424. The cubic root of 513697 is about 80.0882879463.

The spelling of 513697 in words is "five hundred thirteen thousand, six hundred ninety-seven".