1024000001 has 4 divisors (see below), whose sum is σ = 1030522452. Its totient is φ = 1017477552.

The previous prime is 1023999989. The next prime is 1024000009. The reversal of 1024000001 is 1000004201.

It is a Cunningham number, because it is equal to 32000²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 300120976 + 723879025 = 17324^2 + 26905^2 .

It is a cyclic number.

It is not a de Polignac number, because 1024000001 - 2¹⁴ = 1023983617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1024000009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3260990 + ... + 3261303.

It is an arithmetic number, because the mean of its divisors is an integer number (257630613).

It is a Proth number, since it is equal to 15625 ⋅ 2¹⁶ + 1 and 15625 < 2¹⁶.

Almost surely, 2^1024000001 is an apocalyptic number.

It is an amenable number.

1024000001 is a deficient number, since it is larger than the sum of its proper divisors (6522451).

1024000001 is an equidigital number, since it uses as much as digits as its factorization.

1024000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522450.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1024000001 is about 32000.0000156250. Note that the first 4 decimals coincide. The cubic root of 1024000001 is about 1007.9368402440.

Adding to 1024000001 its reverse (1000004201), we get a palindrome (2024004202).

The spelling of 1024000001 in words is "one billion, twenty-four million, one", and thus it is an aban number.