1023997947761 has 2 divisors, whose sum is σ = 1023997947762. Its totient is φ = 1023997947760.

The previous prime is 1023997947727. The next prime is 1023997947779. The reversal of 1023997947761 is 1677497993201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 721745397136 + 302252550625 = 849556^2 + 549775^2 .

It is an emirp because it is prime and its reverse (1677497993201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023997947761 - 2⁶ = 1023997947697 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023997940761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511998973880 + 511998973881.

It is an arithmetic number, because the mean of its divisors is an integer number (511998973881).

Almost surely, 2^{1023997947761} is an apocalyptic number.

It is an amenable number.

1023997947761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023997947761 is an equidigital number, since it uses as much as digits as its factorization.

1023997947761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36006768, while the sum is 65.

The spelling of 1023997947761 in words is "one trillion, twenty-three billion, nine hundred ninety-seven million, nine hundred forty-seven thousand, seven hundred sixty-one".