1004201001 has 6 divisors (see below), whose sum is σ = 1450512570. Its totient is φ = 669467328.

The previous prime is 1004200963. The next prime is 1004201021. The reversal of 1004201001 is 1001024001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 633830976 + 370370025 = 25176^2 + 19245^2 .

It is not a de Polignac number, because 1004201001 - 2⁶ = 1004200937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111577889 = 1004201001 / (1 + 0 + 0 + 4 + 2 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1004201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55788936 + ... + 55788953.

It is an arithmetic number, because the mean of its divisors is an integer number (241752095).

Almost surely, 2^1004201001 is an apocalyptic number.

It is an amenable number.

1004201001 is a deficient number, since it is larger than the sum of its proper divisors (446311569).

1004201001 is a wasteful number, since it uses less digits than its factorization.

1004201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111577895 (or 111577892 counting only the distinct ones).

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

The square root of 1004201001 is about 31689.1306444339. The cubic root of 1004201001 is about 1001.3983772961.

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

The spelling of 1004201001 in words is "one billion, four million, two hundred one thousand, one".