4000506263 has 16 divisors (see below), whose sum is σ = 4373066880. Its totient is φ = 3637599456.

The previous prime is 4000506241. The next prime is 4000506271. The reversal of 4000506263 is 3626050004.

It is a cyclic number.

It is not a de Polignac number, because 4000506263 - 2¹⁰ = 4000505239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000506203) 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 in 15 ways as a sum of consecutive naturals, for example, 240956 + ... + 257022.

It is an arithmetic number, because the mean of its divisors is an integer number (273316680).

Almost surely, 2^4000506263 is an apocalyptic number.

4000506263 is a deficient number, since it is larger than the sum of its proper divisors (372560617).

4000506263 is a wasteful number, since it uses less digits than its factorization.

4000506263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 4000506263 is about 63249.5554371728. Note that the first 3 decimals coincide. The cubic root of 4000506263 is about 1587.4680193446.

Adding to 4000506263 its reverse (3626050004), we get a palindrome (7626556267).

The spelling of 4000506263 in words is "four billion, five hundred six thousand, two hundred sixty-three".