1005113201 has 2 divisors, whose sum is σ = 1005113202. Its totient is φ = 1005113200.

The previous prime is 1005113183. The next prime is 1005113227. The reversal of 1005113201 is 1023115001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 962550625 + 42562576 = 31025^2 + 6524^2 .

It is an emirp because it is prime and its reverse (1023115001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005113201 - 2¹⁰ = 1005112177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502556600 + 502556601.

It is an arithmetic number, because the mean of its divisors is an integer number (502556601).

Almost surely, 2^1005113201 is an apocalyptic number.

It is an amenable number.

1005113201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005113201 is an equidigital number, since it uses as much as digits as its factorization.

1005113201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1005113201 is about 31703.5203250365. The cubic root of 1005113201 is about 1001.7015035769.

Adding to 1005113201 its reverse (1023115001), we get a palindrome (2028228202).

The spelling of 1005113201 in words is "one billion, five million, one hundred thirteen thousand, two hundred one".