27163984225 has 81 divisors (see below), whose sum is σ = 41773910283. Its totient is φ = 17467752960.

The previous prime is 27163984207. The next prime is 27163984247. The reversal of 27163984225 is 52248936172.

It is a happy number.

The square root of 27163984225 is 164815.

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

It can be written as a sum of positive squares in 13 ways, for example, as 18964319521 + 8199664704 = 137711^2 + 90552^2 .

It is not a de Polignac number, because 27163984225 - 2⁷ = 27163984097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98064787 + ... + 98065063.

Almost surely, 2^27163984225 is an apocalyptic number.

27163984225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27163984225 is the 164815-th square number.

27163984225 is the 82408-th centered octagonal number.

It is an amenable number.

27163984225 is a deficient number, since it is larger than the sum of its proper divisors (14609926058).

27163984225 is an equidigital number, since it uses as much as digits as its factorization.

27163984225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 306 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 27163984225 by its sum of digits (49), we get a square (1331035227025 = 1153705²).

27163984225 divided by its sum of digits (49) gives a square (554367025 = 23545²).

The spelling of 27163984225 in words is "twenty-seven billion, one hundred sixty-three million, nine hundred eighty-four thousand, two hundred twenty-five".