1075727626249 has 2 divisors, whose sum is σ = 1075727626250. Its totient is φ = 1075727626248.

The previous prime is 1075727626243. The next prime is 1075727626327. The reversal of 1075727626249 is 9426267275701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 691367305225 + 384360321024 = 831485^2 + 619968^2 .

It is an emirp because it is prime and its reverse (9426267275701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1075727626249 - 2³ = 1075727626241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1075727626193 and 1075727626202.

It is not a weakly prime, because it can be changed into another prime (1075727626241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 537863813124 + 537863813125.

It is an arithmetic number, because the mean of its divisors is an integer number (537863813125).

Almost surely, 2^{1075727626249} is an apocalyptic number.

It is an amenable number.

1075727626249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1075727626249 is an equidigital number, since it uses as much as digits as its factorization.

1075727626249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 1075727626249 in words is "one trillion, seventy-five billion, seven hundred twenty-seven million, six hundred twenty-six thousand, two hundred forty-nine".