67133328201 has 15 divisors (see below), whose sum is σ = 100289072631. Its totient is φ = 44753997528.

The previous prime is 67133328187. The next prime is 67133328233. The reversal of 67133328201 is 10282333176.

The square root of 67133328201 is 259101.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59000895801 + 8132432400 = 242901^2 + 90180^2 .

It is not a de Polignac number, because 67133328201 - 2⁵ = 67133328169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67133328271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2317515 + ... + 2346303.

Almost surely, 2^67133328201 is an apocalyptic number.

67133328201 is the 259101-st square number.

67133328201 is the 129551-st centered octagonal number.

It is an amenable number.

67133328201 is a deficient number, since it is larger than the sum of its proper divisors (33155744430).

67133328201 is an frugal number, since it uses more digits than its factorization.

67133328201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57590 (or 28792 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 67133328201 by its sum of digits (36), we get a square (2416799815236 = 1554606²).

The spelling of 67133328201 in words is "sixty-seven billion, one hundred thirty-three million, three hundred twenty-eight thousand, two hundred one".