4100117509 has 2 divisors, whose sum is σ = 4100117510. Its totient is φ = 4100117508.

The previous prime is 4100117507. The next prime is 4100117533. The reversal of 4100117509 is 9057110014.

4100117509 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3594002500 + 506115009 = 59950^2 + 22497^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100117509 - 2¹ = 4100117507 is a prime.

Together with 4100117507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4100117507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050058754 + 2050058755.

It is an arithmetic number, because the mean of its divisors is an integer number (2050058755).

Almost surely, 2^4100117509 is an apocalyptic number.

It is an amenable number.

4100117509 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100117509 is an equidigital number, since it uses as much as digits as its factorization.

4100117509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 4100117509 is about 64032.1599588832. The cubic root of 4100117509 is about 1600.5359544349.

The spelling of 4100117509 in words is "four billion, one hundred million, one hundred seventeen thousand, five hundred nine".