27284570325 has 72 divisors (see below), whose sum is σ = 53006747976. Its totient is φ = 13361664000.

The previous prime is 27284570317. The next prime is 27284570413. The reversal of 27284570325 is 52307548272.

27284570325 is a `hidden beast` number, since 2 + 72 + 8 + 4 + 570 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8782313796 + 18502256529 = 93714^2 + 136023^2 .

It is not a de Polignac number, because 27284570325 - 2³ = 27284570317 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69835 + ... + 243815.

It is an arithmetic number, because the mean of its divisors is an integer number (736204833).

Almost surely, 2^27284570325 is an apocalyptic number.

27284570325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27284570325 is a deficient number, since it is larger than the sum of its proper divisors (25722177651).

27284570325 is a wasteful number, since it uses less digits than its factorization.

27284570325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174055 (or 174047 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 27284570325 in words is "twenty-seven billion, two hundred eighty-four million, five hundred seventy thousand, three hundred twenty-five".