4000504201 has 2 divisors, whose sum is σ = 4000504202. Its totient is φ = 4000504200.

The previous prime is 4000504199. The next prime is 4000504219. The reversal of 4000504201 is 1024050004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3924396025 + 76108176 = 62645^2 + 8724^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000504201 - 2¹ = 4000504199 is a prime.

Together with 4000504199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4000508201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000252100 + 2000252101.

It is an arithmetic number, because the mean of its divisors is an integer number (2000252101).

Almost surely, 2^4000504201 is an apocalyptic number.

It is an amenable number.

4000504201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000504201 is an equidigital number, since it uses as much as digits as its factorization.

4000504201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4000504201 is about 63249.5391366609. The cubic root of 4000504201 is about 1587.4677465991.

Adding to 4000504201 its reverse (1024050004), we get a palindrome (5024554205).

The spelling of 4000504201 in words is "four billion, five hundred four thousand, two hundred one".