513969 has 16 divisors (see below), whose sum is σ = 737280. Its totient is φ = 317520.

The previous prime is 513943. The next prime is 513977. The reversal of 513969 is 969315.

It is not a de Polignac number, because 513969 - 2⁵ = 513937 is a prime.

It is a super-2 number, since 2×513969² = 528328265922, which contains 22 as substring.

513969 is a lucky number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (513169) 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 in 15 ways as a sum of consecutive naturals, for example, 3984 + ... + 4110.

It is an arithmetic number, because the mean of its divisors is an integer number (46080).

2⁵¹³⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

513969 is a deficient number, since it is larger than the sum of its proper divisors (223311).

513969 is a wasteful number, since it uses less digits than its factorization.

513969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its digits is 7290, while the sum is 33.

The square root of 513969 is about 716.9163131077. The cubic root of 513969 is about 80.1024209019.

The spelling of 513969 in words is "five hundred thirteen thousand, nine hundred sixty-nine".