27227263100625 has 225 divisors, whose sum is σ = 59140533698631. Its totient is φ = 12442991904000.

The previous prime is 27227263100593. The next prime is 27227263100659. The reversal of 27227263100625 is 52600136272272.

The square root of 27227263100625 is 5217975.

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

27227263100625 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 7 + 2 + 6 + 3 + 10 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7748033693841 + 19479229406784 = 2783529^2 + 4413528^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 27227263100625 - 2⁵ = 27227263100593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 8218308969 + ... + 8218312281.

Almost surely, 2^{27227263100625} is an apocalyptic number.

27227263100625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27227263100625 is the 5217975-th square number.

27227263100625 is the 2608988-th centered octagonal number.

It is an amenable number.

27227263100625 is an abundant number, since it is smaller than the sum of its proper divisors (31913270598006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27227263100625 is an frugal number, since it uses more digits than its factorization.

27227263100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

Adding to 27227263100625 its reverse (52600136272272), we get a palindrome (79827399372897).

The spelling of 27227263100625 in words is "twenty-seven trillion, two hundred twenty-seven billion, two hundred sixty-three million, one hundred thousand, six hundred twenty-five".