1966967504657 has 2 divisors, whose sum is σ = 1966967504658. Its totient is φ = 1966967504656.

The previous prime is 1966967504629. The next prime is 1966967504681. The reversal of 1966967504657 is 7564057696691.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1266324846721 + 700642657936 = 1125311^2 + 837044^2 .

It is a cyclic number.

It is not a de Polignac number, because 1966967504657 - 2¹⁴ = 1966967488273 is a prime.

It is a super-2 number, since 2×1966967504657² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1966967504627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 983483752328 + 983483752329.

It is an arithmetic number, because the mean of its divisors is an integer number (983483752329).

Almost surely, 2^{1966967504657} is an apocalyptic number.

It is an amenable number.

1966967504657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1966967504657 is an equidigital number, since it uses as much as digits as its factorization.

1966967504657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 514382400, while the sum is 71.

The spelling of 1966967504657 in words is "one trillion, nine hundred sixty-six billion, nine hundred sixty-seven million, five hundred four thousand, six hundred fifty-seven".