27358287165225 has 81 divisors (see below), whose sum is σ = 49241368214103. Its totient is φ = 14520077016480.

The previous prime is 27358287165217. The next prime is 27358287165263. The reversal of 27358287165225 is 52256178285372.

The square root of 27358287165225 is 5230515.

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

27358287165225 is a `hidden beast` number, since 2 + 7 + 35 + 8 + 2 + 8 + 71 + 6 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9848983379481 + 17509303785744 = 3138309^2 + 4184412^2 .

It is not a de Polignac number, because 27358287165225 - 2³ = 27358287165217 is a prime.

It is a super-2 number, since 2×27358287165225² (a number of 28 digits) contains 22 as substring.

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, 18751395546 + ... + 18751397004.

Almost surely, 2^{27358287165225} is an apocalyptic number.

27358287165225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27358287165225 is the 5230515-th square number.

27358287165225 is the 2615258-th centered octagonal number.

It is an amenable number.

27358287165225 is a deficient number, since it is larger than the sum of its proper divisors (21883081048878).

27358287165225 is an frugal number, since it uses more digits than its factorization.

27358287165225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 1706 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 27358287165225 in words is "twenty-seven trillion, three hundred fifty-eight billion, two hundred eighty-seven million, one hundred sixty-five thousand, two hundred twenty-five".