27300468250225 has 9 divisors (see below), whose sum is σ = 33852613025217. Its totient is φ = 21840353700240.

The previous prime is 27300468250219. The next prime is 27300468250273. The reversal of 27300468250225 is 52205286400372.

The square root of 27300468250225 is 5224985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110751180849 + 27189717069376 = 332793^2 + 5214376^2 .

It is not a de Polignac number, because 27300468250225 - 2¹¹ = 27300468248177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25602427 + ... + 26647423.

Almost surely, 2^{27300468250225} is an apocalyptic number.

27300468250225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27300468250225 is the 5224985-th square number.

27300468250225 is the 2612493-rd centered octagonal number.

It is an amenable number.

27300468250225 is a deficient number, since it is larger than the sum of its proper divisors (6552144774992).

27300468250225 is an frugal number, since it uses more digits than its factorization.

27300468250225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090004 (or 1045002 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 27300468250225 in words is "twenty-seven trillion, three hundred billion, four hundred sixty-eight million, two hundred fifty thousand, two hundred twenty-five".