27233007201 has 24 divisors (see below), whose sum is σ = 40053657384. Its totient is φ = 17825448960.

The previous prime is 27233007157. The next prime is 27233007223. The reversal of 27233007201 is 10270033272.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3931290000 + 23301717201 = 62700^2 + 152649^2 .

It is not a de Polignac number, because 27233007201 - 2¹¹ = 27233005153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27233007601) 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 23 ways as a sum of consecutive naturals, for example, 261265 + ... + 350321.

It is an arithmetic number, because the mean of its divisors is an integer number (1668902391).

Almost surely, 2^27233007201 is an apocalyptic number.

It is an amenable number.

27233007201 is a deficient number, since it is larger than the sum of its proper divisors (12820650183).

27233007201 is a wasteful number, since it uses less digits than its factorization.

27233007201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89681 (or 89678 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 27233007201 in words is "twenty-seven billion, two hundred thirty-three million, seven thousand, two hundred one".