516561 has 8 divisors (see below), whose sum is σ = 692640. Its totient is φ = 342432.

The previous prime is 516541. The next prime is 516563. The reversal of 516561 is 165615.

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

It is not a de Polignac number, because 516561 - 2⁷ = 516433 is a prime.

516561 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516561.

It is not an unprimeable number, because it can be changed into a prime (516563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (86580).

2⁵¹⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

516561 is a deficient number, since it is larger than the sum of its proper divisors (176079).

516561 is a wasteful number, since it uses less digits than its factorization.

516561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975.

The product of its digits is 900, while the sum is 24.

The square root of 516561 is about 718.7217820548. The cubic root of 516561 is about 80.2368501663.

The spelling of 516561 in words is "five hundred sixteen thousand, five hundred sixty-one".