1007705667171 has 64 divisors (see below), whose sum is σ = 1649488435200. Its totient is φ = 545919897600.

The previous prime is 1007705667169. The next prime is 1007705667179. The reversal of 1007705667171 is 1717665077001.

It is not a de Polignac number, because 1007705667171 - 2¹ = 1007705667169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1007705667171.

It is not an unprimeable number, because it can be changed into a prime (1007705667179) 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 in 63 ways as a sum of consecutive naturals, for example, 2485971 + ... + 2862771.

It is an arithmetic number, because the mean of its divisors is an integer number (25773256800).

Almost surely, 2^{1007705667171} is an apocalyptic number.

1007705667171 is a deficient number, since it is larger than the sum of its proper divisors (641782768029).

1007705667171 is a wasteful number, since it uses less digits than its factorization.

1007705667171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376961 (or 376947 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 48.

The spelling of 1007705667171 in words is "one trillion, seven billion, seven hundred five million, six hundred sixty-seven thousand, one hundred seventy-one".