27530410845249 has 135 divisors (see below), whose sum is σ = 43967708315349. Its totient is φ = 16599648630240.

The previous prime is 27530410845247. The next prime is 27530410845251. The reversal of 27530410845249 is 94254801403572.

It is a happy number.

The square root of 27530410845249 is 5246943.

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

27530410845249 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 0 + 4 + 108 + 4 + 524 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (27530410845247) and next prime (27530410845251).

It can be written as a sum of positive squares in 2 ways, for example, as 13650017435649 + 13880393409600 = 3694593^2 + 3725640^2 .

It is not a de Polignac number, because 27530410845249 - 2¹ = 27530410845247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27530410845195 and 27530410845204.

It is not an unprimeable number, because it can be changed into a prime (27530410845247) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 210155807914 + ... + 210155808044.

Almost surely, 2^{27530410845249} is an apocalyptic number.

27530410845249 is the 5246943-rd square number.

27530410845249 is the 2623472-nd centered octagonal number.

It is an amenable number.

27530410845249 is a deficient number, since it is larger than the sum of its proper divisors (16437297470100).

27530410845249 is an frugal number, since it uses more digits than its factorization.

27530410845249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 27530410845249 in words is "twenty-seven trillion, five hundred thirty billion, four hundred ten million, eight hundred forty-five thousand, two hundred forty-nine".