513983 has 4 divisors (see below), whose sum is σ = 517128. Its totient is φ = 510840.

The previous prime is 513977. The next prime is 513991. The reversal of 513983 is 389315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 389315 = 5 ⋅77863.

It is a cyclic number.

It is not a de Polignac number, because 513983 - 2⁸ = 513727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1313 + ... + 1658.

It is an arithmetic number, because the mean of its divisors is an integer number (129282).

2⁵¹³⁹⁸³ is an apocalyptic number.

513983 is a deficient number, since it is larger than the sum of its proper divisors (3145).

513983 is a wasteful number, since it uses less digits than its factorization.

513983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144.

The product of its digits is 3240, while the sum is 29.

The square root of 513983 is about 716.9260770819. The cubic root of 513983 is about 80.1031481985.

The spelling of 513983 in words is "five hundred thirteen thousand, nine hundred eighty-three".