27312520225 has 9 divisors (see below), whose sum is σ = 33868549753. Its totient is φ = 21849355120.

The previous prime is 27312520211. The next prime is 27312520231. The reversal of 27312520225 is 52202521372.

It is a happy number.

The square root of 27312520225 is 165265.

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 1463598049 + 25848922176 = 38257^2 + 160776^2 .

It is not a de Polignac number, because 27312520225 - 2¹⁵ = 27312487457 is a prime.

It is a super-2 number, since 2×27312520225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 809799 + ... + 842851.

Almost surely, 2^27312520225 is an apocalyptic number.

27312520225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27312520225 is the 165265-th square number.

27312520225 is the 82633-rd centered octagonal number.

It is an amenable number.

27312520225 is a deficient number, since it is larger than the sum of its proper divisors (6556029528).

27312520225 is an frugal number, since it uses more digits than its factorization.

27312520225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66116 (or 33058 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The spelling of 27312520225 in words is "twenty-seven billion, three hundred twelve million, five hundred twenty thousand, two hundred twenty-five".