516001 has 8 divisors (see below), whose sum is σ = 552960. Its totient is φ = 479808.

The previous prime is 515993. The next prime is 516017. The reversal of 516001 is 100615.

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

It is not a de Polignac number, because 516001 - 2³ = 515993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516091) 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, 2040 + ... + 2278.

It is an arithmetic number, because the mean of its divisors is an integer number (69120).

2⁵¹⁶⁰⁰¹ is an apocalyptic number.

It is an amenable number.

516001 is a deficient number, since it is larger than the sum of its proper divisors (36959).

516001 is a wasteful number, since it uses less digits than its factorization.

516001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 516001 is about 718.3320958999. The cubic root of 516001 is about 80.2078449550.

Adding to 516001 its reverse (100615), we get a palindrome (616616).

The spelling of 516001 in words is "five hundred sixteen thousand, one".