1007671036993 has 2 divisors, whose sum is σ = 1007671036994. Its totient is φ = 1007671036992.

The previous prime is 1007671036979. The next prime is 1007671037027. The reversal of 1007671036993 is 3996301767001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 635092643329 + 372578393664 = 796927^2 + 610392^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007671036993 - 2⁹ = 1007671036481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1007671036993.

It is not a weakly prime, because it can be changed into another prime (1007671036193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503835518496 + 503835518497.

It is an arithmetic number, because the mean of its divisors is an integer number (503835518497).

Almost surely, 2^{1007671036993} is an apocalyptic number.

It is an amenable number.

1007671036993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007671036993 is an equidigital number, since it uses as much as digits as its factorization.

1007671036993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1285956, while the sum is 52.

The spelling of 1007671036993 in words is "one trillion, seven billion, six hundred seventy-one million, thirty-six thousand, nine hundred ninety-three".