1007705667161 has 2 divisors, whose sum is σ = 1007705667162. Its totient is φ = 1007705667160.

The previous prime is 1007705667107. The next prime is 1007705667169. The reversal of 1007705667161 is 1617665077001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 936141391936 + 71564275225 = 967544^2 + 267515^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007705667161 - 2³⁰ = 1006631925337 is a prime.

It is a super-2 number, since 2×1007705667161² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1007705667169) 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, 503852833580 + 503852833581.

It is an arithmetic number, because the mean of its divisors is an integer number (503852833581).

Almost surely, 2^{1007705667161} is an apocalyptic number.

It is an amenable number.

1007705667161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007705667161 is an equidigital number, since it uses as much as digits as its factorization.

1007705667161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 370440, while the sum is 47.

The spelling of 1007705667161 in words is "one trillion, seven billion, seven hundred five million, six hundred sixty-seven thousand, one hundred sixty-one".