27825525201 has 8 divisors (see below), whose sum is σ = 38380034880. Its totient is φ = 17910682832.

The previous prime is 27825525187. The next prime is 27825525209. The reversal of 27825525201 is 10252552872.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27825525201 - 2⁹ = 27825524689 is a prime.

It is a super-2 number, since 2×27825525201² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27825525201.

It is not an unprimeable number, because it can be changed into a prime (27825525209) 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 7 ways as a sum of consecutive naturals, for example, 159916725 + ... + 159916898.

It is an arithmetic number, because the mean of its divisors is an integer number (4797504360).

Almost surely, 2^27825525201 is an apocalyptic number.

It is an amenable number.

27825525201 is a deficient number, since it is larger than the sum of its proper divisors (10554509679).

27825525201 is a wasteful number, since it uses less digits than its factorization.

27825525201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319833655.

The product of its (nonzero) digits is 112000, while the sum is 39.

The spelling of 27825525201 in words is "twenty-seven billion, eight hundred twenty-five million, five hundred twenty-five thousand, two hundred one".