513679 has 2 divisors, whose sum is σ = 513680. Its totient is φ = 513678.

The previous prime is 513673. The next prime is 513683. The reversal of 513679 is 976315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513679 - 2⁹ = 513167 is a prime.

It is a super-2 number, since 2×513679² = 527732230082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513679.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256839 + 256840.

It is an arithmetic number, because the mean of its divisors is an integer number (256840).

2⁵¹³⁶⁷⁹ is an apocalyptic number.

513679 is a deficient number, since it is larger than the sum of its proper divisors (1).

513679 is an equidigital number, since it uses as much as digits as its factorization.

513679 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 513679 is about 716.7140294427. The cubic root of 513679 is about 80.0873525012.

The spelling of 513679 in words is "five hundred thirteen thousand, six hundred seventy-nine".