512000001 has 16 divisors (see below), whose sum is σ = 767044800. Its totient is φ = 337496544.

The previous prime is 511999979. The next prime is 512000009. The reversal of 512000001 is 100000215.

It is a happy number.

It is a Cunningham number, because it is equal to 800³+1.

It is not a de Polignac number, because 512000001 - 2¹⁴ = 511983617 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (512000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104131 + ... + 108936.

It is an arithmetic number, because the mean of its divisors is an integer number (47940300).

It is a Proth number, since it is equal to 15625 ⋅ 2¹⁵ + 1 and 15625 < 2¹⁵.

Almost surely, 2^512000001 is an apocalyptic number.

It is an amenable number.

512000001 is a deficient number, since it is larger than the sum of its proper divisors (255044799).

512000001 is a wasteful number, since it uses less digits than its factorization.

512000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213165 (or 213159 counting only the distinct ones).

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

The square root of 512000001 is about 22627.4170200666. The cubic root of 512000001 is about 800.0000005208. Note that the first 6 decimals are identical.

Adding to 512000001 its reverse (100000215), we get a palindrome (612000216).

The spelling of 512000001 in words is "five hundred twelve million, one", and thus it is an aban number.