4101005137 has 2 divisors, whose sum is σ = 4101005138. Its totient is φ = 4101005136.

The previous prime is 4101005123. The next prime is 4101005141. The reversal of 4101005137 is 7315001014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4053104896 + 47900241 = 63664^2 + 6921^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101005137 - 2¹¹ = 4101003089 is a prime.

It is not a weakly prime, because it can be changed into another prime (4101005437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050502568 + 2050502569.

It is an arithmetic number, because the mean of its divisors is an integer number (2050502569).

Almost surely, 2^4101005137 is an apocalyptic number.

It is an amenable number.

4101005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101005137 is an equidigital number, since it uses as much as digits as its factorization.

4101005137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 4101005137 is about 64039.0906946687. The cubic root of 4101005137 is about 1600.6514452728.

The spelling of 4101005137 in words is "four billion, one hundred one million, five thousand, one hundred thirty-seven".