1001000028401 has 2 divisors, whose sum is σ = 1001000028402. Its totient is φ = 1001000028400.

The previous prime is 1001000028397. The next prime is 1001000028433. The reversal of 1001000028401 is 1048200001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999390093025 + 1609935376 = 999695^2 + 40124^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001000028401 - 2² = 1001000028397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001000028401.

It is not a weakly prime, because it can be changed into another prime (1001000028001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500014200 + 500500014201.

It is an arithmetic number, because the mean of its divisors is an integer number (500500014201).

Almost surely, 2^{1001000028401} is an apocalyptic number.

It is an amenable number.

1001000028401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000028401 is an equidigital number, since it uses as much as digits as its factorization.

1001000028401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1001000028401 its reverse (1048200001001), we get a palindrome (2049200029402).

The spelling of 1001000028401 in words is "one trillion, one billion, twenty-eight thousand, four hundred one".