27830580625 has 15 divisors (see below), whose sum is σ = 34782305943. Its totient is φ = 22261128000.

The previous prime is 27830580607. The next prime is 27830580637. The reversal of 27830580625 is 52608503872.

It is a happy number.

The square root of 27830580625 is 166825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 27590206609 + 240374016 = 166103^2 + 15504^2 .

It is not a de Polignac number, because 27830580625 - 2⁵ = 27830580593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4167289 + ... + 4173961.

Almost surely, 2^27830580625 is an apocalyptic number.

27830580625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27830580625 is the 166825-th square number.

27830580625 is the 83413-rd centered octagonal number.

It is an amenable number.

27830580625 is a deficient number, since it is larger than the sum of its proper divisors (6951725318).

27830580625 is an frugal number, since it uses more digits than its factorization.

27830580625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13366 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 27830580625 in words is "twenty-seven billion, eight hundred thirty million, five hundred eighty thousand, six hundred twenty-five".