4117631201 has 2 divisors, whose sum is σ = 4117631202. Its totient is φ = 4117631200.

The previous prime is 4117631153. The next prime is 4117631213. The reversal of 4117631201 is 1021367114.

4117631201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2937640000 + 1179991201 = 54200^2 + 34351^2 .

It is a cyclic number.

It is not a de Polignac number, because 4117631201 - 2⁶ = 4117631137 is a prime.

It is not a weakly prime, because it can be changed into another prime (4117631101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2058815600 + 2058815601.

It is an arithmetic number, because the mean of its divisors is an integer number (2058815601).

Almost surely, 2^4117631201 is an apocalyptic number.

It is an amenable number.

4117631201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4117631201 is an equidigital number, since it uses as much as digits as its factorization.

4117631201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 4117631201 is about 64168.7712286904. The cubic root of 4117631201 is about 1602.8116189853.

Adding to 4117631201 its reverse (1021367114), we get a palindrome (5138998315).

The spelling of 4117631201 in words is "four billion, one hundred seventeen million, six hundred thirty-one thousand, two hundred one".