1009167668461 has 2 divisors, whose sum is σ = 1009167668462. Its totient is φ = 1009167668460.

The previous prime is 1009167668423. The next prime is 1009167668471. The reversal of 1009167668461 is 1648667619001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1004216435236 + 4951233225 = 1002106^2 + 70365^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009167668461 - 2¹¹ = 1009167666413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009167668471) 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, 504583834230 + 504583834231.

It is an arithmetic number, because the mean of its divisors is an integer number (504583834231).

Almost surely, 2^{1009167668461} is an apocalyptic number.

It is an amenable number.

1009167668461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009167668461 is an equidigital number, since it uses as much as digits as its factorization.

1009167668461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 1009167668461 in words is "one trillion, nine billion, one hundred sixty-seven million, six hundred sixty-eight thousand, four hundred sixty-one".