510973 has 8 divisors (see below), whose sum is σ = 539136. Its totient is φ = 483600.

The previous prime is 510943. The next prime is 510989. The reversal of 510973 is 379015.

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

It is not a de Polignac number, because 510973 - 2⁵ = 510941 is a prime.

It is a super-2 number, since 2×510973² = 522186813458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1488 + ... + 1798.

It is an arithmetic number, because the mean of its divisors is an integer number (67392).

2⁵¹⁰⁹⁷³ is an apocalyptic number.

510973 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

510973 is a deficient number, since it is larger than the sum of its proper divisors (28163).

510973 is a wasteful number, since it uses less digits than its factorization.

510973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 510973 is about 714.8237545018. The cubic root of 510973 is about 79.9464746126.

Adding to 510973 its reverse (379015), we get a palindrome (889988).

The spelling of 510973 in words is "five hundred ten thousand, nine hundred seventy-three".