667601121076201 has 16 divisors (see below), whose sum is σ = 761577936802704. Its totient is φ = 579744851503104.

The previous prime is 667601121076199. The next prime is 667601121076207. The reversal of 667601121076201 is 102670121106766.

It can be written as a sum of positive squares in 8 ways, for example, as 2411203368025 + 665189917708176 = 1552805^2 + 25791276^2 .

It is not a de Polignac number, because 667601121076201 - 2¹ = 667601121076199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (667601121076207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657049950 + ... + 658065223.

It is an arithmetic number, because the mean of its divisors is an integer number (47598621050169).

Almost surely, 2^{667601121076201} is an apocalyptic number.

It is an amenable number.

667601121076201 is a deficient number, since it is larger than the sum of its proper divisors (93976815726503).

667601121076201 is a wasteful number, since it uses less digits than its factorization.

667601121076201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315117500.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 667601121076201 in words is "six hundred sixty-seven trillion, six hundred one billion, one hundred twenty-one million, seventy-six thousand, two hundred one".