516953 has 8 divisors (see below), whose sum is σ = 559872. Its totient is φ = 475456.

The previous prime is 516949. The next prime is 516959. The reversal of 516953 is 359615.

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

It is not a de Polignac number, because 516953 - 2² = 516949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516953.

It is not an unprimeable number, because it can be changed into a prime (516959) 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, 476 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (69984).

2⁵¹⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

516953 is a deficient number, since it is larger than the sum of its proper divisors (42919).

516953 is a wasteful number, since it uses less digits than its factorization.

516953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711.

The product of its digits is 4050, while the sum is 29.

The square root of 516953 is about 718.9944366961. The cubic root of 516953 is about 80.2571413436.

The spelling of 516953 in words is "five hundred sixteen thousand, nine hundred fifty-three".