1001024001 has 40 divisors (see below), whose sum is σ = 1580008320. Its totient is φ = 630558432.

The previous prime is 1001023997. The next prime is 1001024021. The reversal of 1001024001 is 1004201001.

It is a happy number.

It is not a de Polignac number, because 1001024001 - 2² = 1001023997 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 (1001024021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105870 + ... + 114936.

It is an arithmetic number, because the mean of its divisors is an integer number (39500208).

Almost surely, 2^1001024001 is an apocalyptic number.

It is an amenable number.

1001024001 is a deficient number, since it is larger than the sum of its proper divisors (578984319).

1001024001 is an equidigital number, since it uses as much as digits as its factorization.

1001024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9155 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001024001 is about 31638.9633363674. The cubic root of 1001024001 is about 1000.3412172242.

Adding to 1001024001 its reverse (1004201001), we get a palindrome (2005225002).

The spelling of 1001024001 in words is "one billion, one million, twenty-four thousand, one".