512001 has 36 divisors (see below), whose sum is σ = 912912. Its totient is φ = 285768.

The previous prime is 511997. The next prime is 512009. The reversal of 512001 is 100215.

It is a happy number.

It is a Cunningham number, because it is equal to 80³+1.

It is not a de Polignac number, because 512001 - 2² = 511997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

512001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (512009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11886 + ... + 11928.

It is a Proth number, since it is equal to 125 ⋅ 2¹² + 1 and 125 < 2¹².

2⁵¹²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

512001 is a deficient number, since it is larger than the sum of its proper divisors (400911).

512001 is an equidigital number, since it uses as much as digits as its factorization.

512001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 512001 is about 715.5424515708. The cubic root of 512001 is about 80.0000520833. Note that the first 4 decimals are identical.

Adding to 512001 its reverse (100215), we get a palindrome (612216).

The spelling of 512001 in words is "five hundred twelve thousand, one".