4127085901 has 2 divisors, whose sum is σ = 4127085902. Its totient is φ = 4127085900.

The previous prime is 4127085841. The next prime is 4127085917. The reversal of 4127085901 is 1095807214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4108681801 + 18404100 = 64099^2 + 4290^2 .

It is a cyclic number.

It is not a de Polignac number, because 4127085901 - 2⁷ = 4127085773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4127085301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2063542950 + 2063542951.

It is an arithmetic number, because the mean of its divisors is an integer number (2063542951).

Almost surely, 2^4127085901 is an apocalyptic number.

It is an amenable number.

4127085901 is a deficient number, since it is larger than the sum of its proper divisors (1).

4127085901 is an equidigital number, since it uses as much as digits as its factorization.

4127085901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 4127085901 is about 64242.3995582357. The cubic root of 4127085901 is about 1604.0374466800.

It can be divided in two parts, 412708 and 5901, that added together give a square (418609 = 647²).

The spelling of 4127085901 in words is "four billion, one hundred twenty-seven million, eighty-five thousand, nine hundred one".