1075727626241 has 2 divisors, whose sum is σ = 1075727626242. Its totient is φ = 1075727626240.

The previous prime is 1075727626223. The next prime is 1075727626243. The reversal of 1075727626241 is 1426267275701.

1075727626241 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., 1049592054016 + 26135572225 = 1024496^2 + 161665^2 .

It is an emirp because it is prime and its reverse (1426267275701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1075727626241 is a prime.

Together with 1075727626243, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1075727626241.

It is not a weakly prime, because it can be changed into another prime (1075727626243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 537863813120 + 537863813121.

It is an arithmetic number, because the mean of its divisors is an integer number (537863813121).

Almost surely, 2^{1075727626241} is an apocalyptic number.

It is an amenable number.

1075727626241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1075727626241 is an equidigital number, since it uses as much as digits as its factorization.

1075727626241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 1075727626241 in words is "one trillion, seventy-five billion, seven hundred twenty-seven million, six hundred twenty-six thousand, two hundred forty-one".