1005100001 has 2 divisors, whose sum is σ = 1005100002. Its totient is φ = 1005100000.

The previous prime is 1005099973. The next prime is 1005100043. The reversal of 1005100001 is 1000015001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 699549601 + 305550400 = 26449^2 + 17480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005100081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502550000 + 502550001.

It is an arithmetic number, because the mean of its divisors is an integer number (502550001).

Almost surely, 2^1005100001 is an apocalyptic number.

It is an amenable number.

1005100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005100001 is an equidigital number, since it uses as much as digits as its factorization.

1005100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 1005100001 is about 31703.3121455787. The cubic root of 1005100001 is about 1001.6971184928.

Adding to 1005100001 its reverse (1000015001), we get a palindrome (2005115002).

The spelling of 1005100001 in words is "one billion, five million, one hundred thousand, one".