6601400001 has 81 divisors (see below), whose sum is σ = 11462372649. Its totient is φ = 3650355072.

The previous prime is 6601399991. The next prime is 6601400011. The reversal of 6601400001 is 1000041066.

The square root of 6601400001 is 81249.

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

6601400001 is a `hidden beast` number, since 660 + 1 + 4 + 0 + 0 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (6601399991) and next prime (6601400011).

It can be written as a sum of positive squares in 4 ways, for example, as 564110001 + 6037290000 = 23751^2 + 77700^2 .

It is not a de Polignac number, because 6601400001 - 2¹³ = 6601391809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6601400011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 90430101 + ... + 90430173.

Almost surely, 2^6601400001 is an apocalyptic number.

6601400001 is the 81249-th square number.

6601400001 is the 40625-th centered octagonal number.

It is an amenable number.

6601400001 is a deficient number, since it is larger than the sum of its proper divisors (4860972648).

6601400001 is an equidigital number, since it uses as much as digits as its factorization.

6601400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 6601400001 is about 1875.9100768140.

Multiplying 6601400001 by its product of nonzero digits (144), we get a square (950601600144 = 974988²).

Adding to 6601400001 its reverse (1000041066), we get a palindrome (7601441067).

The spelling of 6601400001 in words is "six billion, six hundred one million, four hundred thousand, one".