7027265508201 has 27 divisors (see below), whose sum is σ = 10713079249821. Its totient is φ = 4438177520184.

The previous prime is 7027265508191. The next prime is 7027265508209. The reversal of 7027265508201 is 1028055627207.

The square root of 7027265508201 is 2650899.

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

7027265508201 is a `hidden beast` number, since 7 + 0 + 2 + 72 + 6 + 550 + 8 + 20 + 1 = 666.

It is not a de Polignac number, because 7027265508201 - 2⁵ = 7027265508169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7027265508209) 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, 151077990 + ... + 151124496.

Almost surely, 2^{7027265508201} is an apocalyptic number.

7027265508201 is the 2650899-th square number.

7027265508201 is the 1325450-th centered octagonal number.

It is an amenable number.

7027265508201 is a deficient number, since it is larger than the sum of its proper divisors (3685813741620).

7027265508201 is an frugal number, since it uses more digits than its factorization.

7027265508201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93058 (or 46529 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 7027265508201 in words is "seven trillion, twenty-seven billion, two hundred sixty-five million, five hundred eight thousand, two hundred one".