6651761968201 has 9 divisors (see below), whose sum is σ = 7737784923501. Its totient is φ = 5701494783852.

The previous prime is 6651761968199. The next prime is 6651761968217. The reversal of 6651761968201 is 1028691671566.

The square root of 6651761968201 is 2579101.

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

It is not a de Polignac number, because 6651761968201 - 2¹ = 6651761968199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6651761963201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17869486 + ... + 18237928.

It is an arithmetic number, because the mean of its divisors is an integer number (859753880389).

Almost surely, 2^{6651761968201} is an apocalyptic number.

6651761968201 is the 2579101-st square number.

6651761968201 is the 1289551-st centered octagonal number.

It is an amenable number.

6651761968201 is a deficient number, since it is larger than the sum of its proper divisors (1086022955300).

6651761968201 is an frugal number, since it uses more digits than its factorization.

6651761968201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736900 (or 368450 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 6651761968201 in words is "six trillion, six hundred fifty-one billion, seven hundred sixty-one million, nine hundred sixty-eight thousand, two hundred one".