27259661025 has 63 divisors (see below), whose sum is σ = 50721258499. Its totient is φ = 14526598320.

The previous prime is 27259660999. The next prime is 27259661059. The reversal of 27259661025 is 52016695272.

The square root of 27259661025 is 165105.

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

27259661025 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 9 + 6 + 610 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9813477969 + 17446183056 = 99063^2 + 132084^2 .

It is not a de Polignac number, because 27259661025 - 2¹¹ = 27259658977 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22288564 + ... + 22289786.

Almost surely, 2^27259661025 is an apocalyptic number.

27259661025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27259661025 is the 165105-th square number.

27259661025 is the 82553-rd centered octagonal number.

It is an amenable number.

27259661025 is a deficient number, since it is larger than the sum of its proper divisors (23461597474).

27259661025 is an frugal number, since it uses more digits than its factorization.

27259661025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 27259661025 in words is "twenty-seven billion, two hundred fifty-nine million, six hundred sixty-one thousand, twenty-five".