6554362902201 has 135 divisors (see below), whose sum is σ = 10790631324759. Its totient is φ = 3963847974912.

The previous prime is 6554362902181. The next prime is 6554362902287. The reversal of 6554362902201 is 1022092634556.

The square root of 6554362902201 is 2560149.

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

6554362902201 is a `hidden beast` number, since 6 + 5 + 5 + 436 + 2 + 9 + 0 + 2 + 201 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 359938802601 + 6194424099600 = 599949^2 + 2488860^2 .

It is not a de Polignac number, because 6554362902201 - 2¹⁷ = 6554362771129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6554362902601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11359380825 + ... + 11359381401.

Almost surely, 2^{6554362902201} is an apocalyptic number.

6554362902201 is the 2560149-th square number.

6554362902201 is the 1280075-th centered octagonal number.

It is an amenable number.

6554362902201 is a deficient number, since it is larger than the sum of its proper divisors (4236268422558).

6554362902201 is an frugal number, since it uses more digits than its factorization.

6554362902201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 6554362902201 in words is "six trillion, five hundred fifty-four billion, three hundred sixty-two million, nine hundred two thousand, two hundred one".