513769 has 2 divisors, whose sum is σ = 513770. Its totient is φ = 513768.

The previous prime is 513767. The next prime is 513781. The reversal of 513769 is 967315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 238144 = 525^2 + 488^2 .

It is a cyclic number.

It is not a de Polignac number, because 513769 - 2¹ = 513767 is a prime.

It is a super-2 number, since 2×513769² = 527917170722, which contains 22 as substring.

Together with 513767, it forms a pair of twin primes.

513769 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 513769.

It is not a weakly prime, because it can be changed into another prime (513761) 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, 256884 + 256885.

It is an arithmetic number, because the mean of its divisors is an integer number (256885).

2⁵¹³⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

513769 is a deficient number, since it is larger than the sum of its proper divisors (1).

513769 is an equidigital number, since it uses as much as digits as its factorization.

513769 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 513769 is about 716.7768132411. The cubic root of 513769 is about 80.0920295082.

It can be divided in two parts, 5137 and 69, that multiplied together give a palindrome (354453).

The spelling of 513769 in words is "five hundred thirteen thousand, seven hundred sixty-nine".