35005106041 has 2 divisors, whose sum is σ = 35005106042. Its totient is φ = 35005106040.

The previous prime is 35005106029. The next prime is 35005106053. The reversal of 35005106041 is 14060150053.

It is a balanced prime because it is at equal distance from previous prime (35005106029) and next prime (35005106053).

It can be written as a sum of positive squares in only one way, i.e., 32373005625 + 2632100416 = 179925^2 + 51304^2 .

It is an emirp because it is prime and its reverse (14060150053) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35005106041 - 2²³ = 34996717433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35005105997 and 35005106015.

It is not a weakly prime, because it can be changed into another prime (35005106141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17502553020 + 17502553021.

It is an arithmetic number, because the mean of its divisors is an integer number (17502553021).

Almost surely, 2^35005106041 is an apocalyptic number.

It is an amenable number.

35005106041 is a deficient number, since it is larger than the sum of its proper divisors (1).

35005106041 is an equidigital number, since it uses as much as digits as its factorization.

35005106041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 35005106041 its reverse (14060150053), we get a palindrome (49065256094).

The spelling of 35005106041 in words is "thirty-five billion, five million, one hundred six thousand, forty-one".