65265127106041 has 2 divisors, whose sum is σ = 65265127106042. Its totient is φ = 65265127106040.

The previous prime is 65265127105963. The next prime is 65265127106057. The reversal of 65265127106041 is 14060172156256.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64873294924816 + 391832181225 = 8054396^2 + 625965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65265127106041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65265127105982 and 65265127106000.

It is not a weakly prime, because it can be changed into another prime (65265127106741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32632563553020 + 32632563553021.

It is an arithmetic number, because the mean of its divisors is an integer number (32632563553021).

Almost surely, 2^{65265127106041} is an apocalyptic number.

It is an amenable number.

65265127106041 is a deficient number, since it is larger than the sum of its proper divisors (1).

65265127106041 is an equidigital number, since it uses as much as digits as its factorization.

65265127106041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 65265127106041 in words is "sixty-five trillion, two hundred sixty-five billion, one hundred twenty-seven million, one hundred six thousand, forty-one".