27634075225 has 9 divisors (see below), whose sum is σ = 34267283967. Its totient is φ = 22106595240.

The previous prime is 27634075223. The next prime is 27634075277. The reversal of 27634075225 is 52257043672.

The square root of 27634075225 is 166235.

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

It can be written as a sum of positive squares in only one way, i.e., 9948267081 + 17685808144 = 99741^2 + 132988^2 .

It is not a de Polignac number, because 27634075225 - 2¹ = 27634075223 is a prime.

It is a super-2 number, since 2×27634075225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27634075223) 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 8 ways as a sum of consecutive naturals, for example, 814552 + ... + 847798.

Almost surely, 2^27634075225 is an apocalyptic number.

27634075225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27634075225 is the 166235-th square number.

27634075225 is the 83118-th centered octagonal number.

It is an amenable number.

27634075225 is a deficient number, since it is larger than the sum of its proper divisors (6633208742).

27634075225 is an frugal number, since it uses more digits than its factorization.

27634075225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66504 (or 33252 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 27634075225 in words is "twenty-seven billion, six hundred thirty-four million, seventy-five thousand, two hundred twenty-five".