9735154056041 has 2 divisors, whose sum is σ = 9735154056042. Its totient is φ = 9735154056040.

The previous prime is 9735154055999. The next prime is 9735154056049. The reversal of 9735154056041 is 1406504515379.

9735154056041 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., 9729377448025 + 5776608016 = 3119195^2 + 76004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9735154056041 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9735154056049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4867577028020 + 4867577028021.

It is an arithmetic number, because the mean of its divisors is an integer number (4867577028021).

Almost surely, 2^{9735154056041} is an apocalyptic number.

It is an amenable number.

9735154056041 is a deficient number, since it is larger than the sum of its proper divisors (1).

9735154056041 is an equidigital number, since it uses as much as digits as its factorization.

9735154056041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 9735154056041 in words is "nine trillion, seven hundred thirty-five billion, one hundred fifty-four million, fifty-six thousand, forty-one".