4131006041 has 2 divisors, whose sum is σ = 4131006042. Its totient is φ = 4131006040.

The previous prime is 4131006023. The next prime is 4131006059. The reversal of 4131006041 is 1406001314.

It is a balanced prime because it is at equal distance from previous prime (4131006023) and next prime (4131006059).

It can be written as a sum of positive squares in only one way, i.e., 2760451600 + 1370554441 = 52540^2 + 37021^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131006041 - 2¹⁰ = 4131005017 is a prime.

It is not a weakly prime, because it can be changed into another prime (4131006541) 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, 2065503020 + 2065503021.

It is an arithmetic number, because the mean of its divisors is an integer number (2065503021).

Almost surely, 2^4131006041 is an apocalyptic number.

It is an amenable number.

4131006041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131006041 is an equidigital number, since it uses as much as digits as its factorization.

4131006041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4131006041 is about 64272.9028518240. The cubic root of 4131006041 is about 1604.5451545107.

Adding to 4131006041 its reverse (1406001314), we get a palindrome (5537007355).

The spelling of 4131006041 in words is "four billion, one hundred thirty-one million, six thousand, forty-one".