1004131201 has 2 divisors, whose sum is σ = 1004131202. Its totient is φ = 1004131200.

The previous prime is 1004131189. The next prime is 1004131237. The reversal of 1004131201 is 1021314001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 864418801 + 139712400 = 29401^2 + 11820^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004131201 - 2⁵ = 1004131169 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004131291) 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 as a sum of consecutive naturals, namely, 502065600 + 502065601.

It is an arithmetic number, because the mean of its divisors is an integer number (502065601).

Almost surely, 2^1004131201 is an apocalyptic number.

It is an amenable number.

1004131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004131201 is an equidigital number, since it uses as much as digits as its factorization.

1004131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1004131201 is about 31688.0293012993. The cubic root of 1004131201 is about 1001.3751750268.

Adding to 1004131201 its reverse (1021314001), we get a palindrome (2025445202).

The spelling of 1004131201 in words is "one billion, four million, one hundred thirty-one thousand, two hundred one".