27565072560025 has 243 divisors, whose sum is σ = 47370117475863. Its totient is φ = 15846499468800.

The previous prime is 27565072560017. The next prime is 27565072560097. The reversal of 27565072560025 is 52006527056572.

The square root of 27565072560025 is 5250245.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15353067053401 + 12212005506624 = 3918299^2 + 3494568^2 .

It is not a de Polignac number, because 27565072560025 - 2³ = 27565072560017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 26277475701 + ... + 26277476749.

Almost surely, 2^{27565072560025} is an apocalyptic number.

27565072560025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27565072560025 is the 5250245-th square number.

27565072560025 is the 2625123-rd centered octagonal number.

It is an amenable number.

27565072560025 is a deficient number, since it is larger than the sum of its proper divisors (19805044915838).

27565072560025 is a wasteful number, since it uses less digits than its factorization.

27565072560025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 52.

The spelling of 27565072560025 in words is "twenty-seven trillion, five hundred sixty-five billion, seventy-two million, five hundred sixty thousand, twenty-five".