511973 has 16 divisors (see below), whose sum is σ = 654720. Its totient is φ = 388800.

The previous prime is 511963. The next prime is 511991. The reversal of 511973 is 379115.

It is a cyclic number.

It is not a de Polignac number, because 511973 - 2⁶ = 511909 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4643 + ... + 4751.

It is an arithmetic number, because the mean of its divisors is an integer number (40920).

2⁵¹¹⁹⁷³ is an apocalyptic number.

It is an amenable number.

511973 is a deficient number, since it is larger than the sum of its proper divisors (142747).

511973 is a wasteful number, since it uses less digits than its factorization.

511973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its digits is 945, while the sum is 26.

The square root of 511973 is about 715.5228857276. The cubic root of 511973 is about 79.9985937253.

The spelling of 511973 in words is "five hundred eleven thousand, nine hundred seventy-three".