27365430625 has 45 divisors (see below), whose sum is σ = 37101524493. Its totient is φ = 20168616000.

The previous prime is 27365430619. The next prime is 27365430629. The reversal of 27365430625 is 52603456372.

The square root of 27365430625 is 165425.

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

It can be written as a sum of positive squares in 22 ways, for example, as 24391255329 + 2974175296 = 156177^2 + 54536^2 .

It is not a de Polignac number, because 27365430625 - 2⁷ = 27365430497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27365430629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53762871 + ... + 53763379.

Almost surely, 2^27365430625 is an apocalyptic number.

27365430625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27365430625 is the 165425-th square number.

27365430625 is the 82713-rd centered octagonal number.

It is an amenable number.

27365430625 is a deficient number, since it is larger than the sum of its proper divisors (9736093868).

27365430625 is an frugal number, since it uses more digits than its factorization.

27365430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

Adding to 27365430625 its reverse (52603456372), we get a palindrome (79968886997).

The spelling of 27365430625 in words is "twenty-seven billion, three hundred sixty-five million, four hundred thirty thousand, six hundred twenty-five".