27752525250273 has 12 divisors (see below), whose sum is σ = 40454751385620. Its totient is φ = 18331943283936.

The previous prime is 27752525250211. The next prime is 27752525250301. The reversal of 27752525250273 is 37205252525772.

27752525250273 is a `hidden beast` number, since 2 + 7 + 7 + 525 + 25 + 25 + 0 + 2 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24866508676689 + 2886016573584 = 4986633^2 + 1698828^2 .

It is not a de Polignac number, because 27752525250273 - 2²⁰ = 27752524201697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27752525250173) 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, 14145016986 + ... + 14145018947.

It is an arithmetic number, because the mean of its divisors is an integer number (3371229282135).

Almost surely, 2^{27752525250273} is an apocalyptic number.

It is an amenable number.

27752525250273 is a deficient number, since it is larger than the sum of its proper divisors (12702226135347).

27752525250273 is a wasteful number, since it uses less digits than its factorization.

27752525250273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28290036048 (or 28290036045 counting only the distinct ones).

The product of its (nonzero) digits is 20580000, while the sum is 54.

The spelling of 27752525250273 in words is "twenty-seven trillion, seven hundred fifty-two billion, five hundred twenty-five million, two hundred fifty thousand, two hundred seventy-three".