2045653177993 has 2 divisors, whose sum is σ = 2045653177994. Its totient is φ = 2045653177992.

The previous prime is 2045653177949. The next prime is 2045653178027. The reversal of 2045653177993 is 3997713565402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1326164134464 + 719489043529 = 1151592^2 + 848227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2045653177993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2045653177793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1022826588996 + 1022826588997.

It is an arithmetic number, because the mean of its divisors is an integer number (1022826588997).

Almost surely, 2^{2045653177993} is an apocalyptic number.

It is an amenable number.

2045653177993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2045653177993 is an equidigital number, since it uses as much as digits as its factorization.

2045653177993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42865200, while the sum is 61.

The spelling of 2045653177993 in words is "two trillion, forty-five billion, six hundred fifty-three million, one hundred seventy-seven thousand, nine hundred ninety-three".