6553516401 has 12 divisors (see below), whose sum is σ = 9559916340. Its totient is φ = 4325752800.

The previous prime is 6553516379. The next prime is 6553516427. The reversal of 6553516401 is 1046153556.

6553516401 is a `hidden beast` number, since 6 + 5 + 5 + 3 + 5 + 1 + 640 + 1 = 666.

6553516401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4048013376 + 2505503025 = 63624^2 + 50055^2 .

It is not a de Polignac number, because 6553516401 - 2⁹ = 6553515889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6553516441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3603886 + ... + 3605703.

It is an arithmetic number, because the mean of its divisors is an integer number (796659695).

Almost surely, 2^6553516401 is an apocalyptic number.

It is an amenable number.

6553516401 is a deficient number, since it is larger than the sum of its proper divisors (3006399939).

6553516401 is a wasteful number, since it uses less digits than its factorization.

6553516401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7209696 (or 7209693 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 6553516401 is about 80953.7917641910. The cubic root of 6553516401 is about 1871.3633952297.

Adding to 6553516401 its reverse (1046153556), we get a palindrome (7599669957).

The spelling of 6553516401 in words is "six billion, five hundred fifty-three million, five hundred sixteen thousand, four hundred one".