6630104860201 has 27 divisors (see below), whose sum is σ = 7134731898021. Its totient is φ = 6160229565984.

The previous prime is 6630104860193. The next prime is 6630104860231. The reversal of 6630104860201 is 1020684010366.

It is a happy number.

The square root of 6630104860201 is 2574899.

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

It can be written as a sum of positive squares in 4 ways, for example, as 163459298601 + 6466645561600 = 404301^2 + 2542960^2 .

It is not a de Polignac number, because 6630104860201 - 2³ = 6630104860193 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6630104860231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2592922015 + ... + 2592924571.

Almost surely, 2^{6630104860201} is an apocalyptic number.

6630104860201 is the 2574899-th square number.

6630104860201 is the 1287450-th centered octagonal number.

It is an amenable number.

6630104860201 is a deficient number, since it is larger than the sum of its proper divisors (504627037820).

6630104860201 is an frugal number, since it uses more digits than its factorization.

6630104860201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

Adding to 6630104860201 its reverse (1020684010366), we get a palindrome (7650788870567).

The spelling of 6630104860201 in words is "six trillion, six hundred thirty billion, one hundred four million, eight hundred sixty thousand, two hundred one".