4005003263 has 2 divisors, whose sum is σ = 4005003264. Its totient is φ = 4005003262.

The previous prime is 4005003143. The next prime is 4005003313. The reversal of 4005003263 is 3623005004.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4005003263 - 2³⁰ = 2931261439 is a prime.

It is a super-2 number, since 2×4005003263² = 32080102273281294338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4005003763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002501631 + 2002501632.

It is an arithmetic number, because the mean of its divisors is an integer number (2002501632).

Almost surely, 2^4005003263 is an apocalyptic number.

4005003263 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005003263 is an equidigital number, since it uses as much as digits as its factorization.

4005003263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 4005003263 is about 63285.0951093541. The cubic root of 4005003263 is about 1588.0626249553.

Adding to 4005003263 its reverse (3623005004), we get a palindrome (7628008267).

The spelling of 4005003263 in words is "four billion, five million, three thousand, two hundred sixty-three".