27305910025 has 9 divisors (see below), whose sum is σ = 33860352981. Its totient is φ = 21844067040.

The previous prime is 27305910013. The next prime is 27305910061. The reversal of 27305910025 is 52001950372.

The square root of 27305910025 is 165245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16028319609 + 11277590416 = 126603^2 + 106196^2 .

It is not a de Polignac number, because 27305910025 - 2¹⁷ = 27305778953 is a prime.

It is a super-2 number, since 2×27305910025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 809701 + ... + 842749.

Almost surely, 2^27305910025 is an apocalyptic number.

27305910025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27305910025 is the 165245-th square number.

27305910025 is the 82623-rd centered octagonal number.

It is an amenable number.

27305910025 is a deficient number, since it is larger than the sum of its proper divisors (6554442956).

27305910025 is an frugal number, since it uses more digits than its factorization.

27305910025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66108 (or 33054 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 27305910025 in words is "twenty-seven billion, three hundred five million, nine hundred ten thousand, twenty-five".