513921 has 8 divisors (see below), whose sum is σ = 692064. Its totient is φ = 339200.

The previous prime is 513917. The next prime is 513923. The reversal of 513921 is 129315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513921 - 2² = 513917 is a prime.

It is a super-2 number, since 2×513921² = 528229588482, which contains 22 as substring.

513921 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513921.

It is not an unprimeable number, because it can be changed into a prime (513923) 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 in 7 ways as a sum of consecutive naturals, for example, 480 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (86508).

2⁵¹³⁹²¹ is an apocalyptic number.

It is an amenable number.

513921 is a deficient number, since it is larger than the sum of its proper divisors (178143).

513921 is a wasteful number, since it uses less digits than its factorization.

513921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711.

The product of its digits is 270, while the sum is 21.

The square root of 513921 is about 716.8828356154. The cubic root of 513921 is about 80.0999272133.

The spelling of 513921 in words is "five hundred thirteen thousand, nine hundred twenty-one".