27505053028025 has 12 divisors (see below), whose sum is σ = 34187278275564. Its totient is φ = 21951776280000.

The previous prime is 27505053027989. The next prime is 27505053028027. The reversal of 27505053028025 is 52082035050572.

It can be written as a sum of positive squares in 6 ways, for example, as 9229462228009 + 18275590800016 = 3038003^2 + 4274996^2 .

It is not a de Polignac number, because 27505053028025 - 2⁴² = 23107006516921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27505053028027) 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 11 ways as a sum of consecutive naturals, for example, 1306642826 + ... + 1306663875.

It is an arithmetic number, because the mean of its divisors is an integer number (2848939856297).

Almost surely, 2^{27505053028025} is an apocalyptic number.

27505053028025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27505053028025 is a deficient number, since it is larger than the sum of its proper divisors (6682225247539).

27505053028025 is a wasteful number, since it uses less digits than its factorization.

27505053028025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613307132 (or 2613307127 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 44.

Adding to 27505053028025 its reverse (52082035050572), we get a palindrome (79587088078597).

The spelling of 27505053028025 in words is "twenty-seven trillion, five hundred five billion, fifty-three million, twenty-eight thousand, twenty-five".