6551188701841 has 27 divisors (see below), whose sum is σ = 7768397655291. Its totient is φ = 5508556885104.

The previous prime is 6551188701803. The next prime is 6551188701877. The reversal of 6551188701841 is 1481078811556.

The square root of 6551188701841 is 2559529.

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., 4722733044225 + 1828455657616 = 2173185^2 + 1352204^2 .

It is not a de Polignac number, because 6551188701841 - 2¹⁷ = 6551188570769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6551188701881) 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 26 ways as a sum of consecutive naturals, for example, 949581810 + ... + 949588708.

Almost surely, 2^{6551188701841} is an apocalyptic number.

6551188701841 is the 2559529-th square number.

6551188701841 is the 1279765-th centered octagonal number.

It is an amenable number.

6551188701841 is a deficient number, since it is larger than the sum of its proper divisors (1217208953450).

6551188701841 is an frugal number, since it uses more digits than its factorization.

6551188701841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 55.

The spelling of 6551188701841 in words is "six trillion, five hundred fifty-one billion, one hundred eighty-eight million, seven hundred one thousand, eight hundred forty-one".