1001003873 has 2 divisors, whose sum is σ = 1001003874. Its totient is φ = 1001003872.

The previous prime is 1001003827. The next prime is 1001003879. The reversal of 1001003873 is 3783001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996475489 + 4528384 = 31567^2 + 2128^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001003873 - 2¹² = 1000999777 is a prime.

It is a super-3 number, since 3×1001003873³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1001003879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501936 + 500501937.

It is an arithmetic number, because the mean of its divisors is an integer number (500501937).

Almost surely, 2^1001003873 is an apocalyptic number.

It is an amenable number.

1001003873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001003873 is an equidigital number, since it uses as much as digits as its factorization.

1001003873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1001003873 is about 31638.6452459646. The cubic root of 1001003873 is about 1000.3345124223.

Adding to 1001003873 its reverse (3783001001), we get a palindrome (4784004874).

The spelling of 1001003873 in words is "one billion, one million, three thousand, eight hundred seventy-three".