1005004261 has 2 divisors, whose sum is σ = 1005004262. Its totient is φ = 1005004260.

The previous prime is 1005004211. The next prime is 1005004279. The reversal of 1005004261 is 1624005001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 854451361 + 150552900 = 29231^2 + 12270^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005004261 - 2¹⁵ = 1004971493 is a prime.

It is a super-2 number, since 2×1005004261² = 2020067129256312242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005004201) 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, 502502130 + 502502131.

It is an arithmetic number, because the mean of its divisors is an integer number (502502131).

Almost surely, 2^1005004261 is an apocalyptic number.

It is an amenable number.

1005004261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005004261 is an equidigital number, since it uses as much as digits as its factorization.

1005004261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1005004261 is about 31701.8021727472. The cubic root of 1005004261 is about 1001.6653121958.

Adding to 1005004261 its reverse (1624005001), we get a palindrome (2629009262).

The spelling of 1005004261 in words is "one billion, five million, four thousand, two hundred sixty-one".