4105413001 has 2 divisors, whose sum is σ = 4105413002. Its totient is φ = 4105413000.

The previous prime is 4105412957. The next prime is 4105413017. The reversal of 4105413001 is 1003145014.

4105413001 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., 3369918601 + 735494400 = 58051^2 + 27120^2 .

It is a cyclic number.

It is not a de Polignac number, because 4105413001 - 2¹⁹ = 4104888713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4105413001.

It is not a weakly prime, because it can be changed into another prime (4105413031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2052706500 + 2052706501.

It is an arithmetic number, because the mean of its divisors is an integer number (2052706501).

Almost surely, 2^4105413001 is an apocalyptic number.

It is an amenable number.

4105413001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4105413001 is an equidigital number, since it uses as much as digits as its factorization.

4105413001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 4105413001 is about 64073.4968688303. The cubic root of 4105413001 is about 1601.2247134807.

Adding to 4105413001 its reverse (1003145014), we get a palindrome (5108558015).

The spelling of 4105413001 in words is "four billion, one hundred five million, four hundred thirteen thousand, one".