27002705625 has 135 divisors (see below), whose sum is σ = 56878436043. Its totient is φ = 12304656000.

The previous prime is 27002705623. The next prime is 27002705629. The reversal of 27002705625 is 52650720072.

The square root of 27002705625 is 164325.

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

27002705625 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 27 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 25896211929 + 1106493696 = 160923^2 + 33264^2 .

It is not a de Polignac number, because 27002705625 - 2¹ = 27002705623 is a prime.

It is a super-2 number, since 2×27002705625² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27002705625.

It is not an unprimeable number, because it can be changed into a prime (27002705623) 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 134 ways as a sum of consecutive naturals, for example, 86270469 + ... + 86270781.

Almost surely, 2^27002705625 is an apocalyptic number.

27002705625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27002705625 is the 164325-th square number.

27002705625 is the 82163-rd centered octagonal number.

It is an amenable number.

27002705625 is an abundant number, since it is smaller than the sum of its proper divisors (29875730418).

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

27002705625 is an frugal number, since it uses more digits than its factorization.

27002705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Multiplying 27002705625 by its sum of digits (36), we get a square (972097402500 = 985950²).

The spelling of 27002705625 in words is "twenty-seven billion, two million, seven hundred five thousand, six hundred twenty-five".