512953 has 8 divisors (see below), whose sum is σ = 591872. Its totient is φ = 435456.

The previous prime is 512929. The next prime is 512959. The reversal of 512953 is 359215.

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

It is not a de Polignac number, because 512953 - 2⁵ = 512921 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512959) 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 7 ways as a sum of consecutive naturals, for example, 601 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (73984).

2⁵¹²⁹⁵³ is an apocalyptic number.

It is an amenable number.

512953 is a deficient number, since it is larger than the sum of its proper divisors (78919).

512953 is a wasteful number, since it uses less digits than its factorization.

512953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711.

The product of its digits is 1350, while the sum is 25.

The square root of 512953 is about 716.2073722044. The cubic root of 512953 is about 80.0496046525.

The spelling of 512953 in words is "five hundred twelve thousand, nine hundred fifty-three".