27787605246025 has 81 divisors (see below), whose sum is σ = 36188066085159. Its totient is φ = 21165705204000.

The previous prime is 27787605246017. The next prime is 27787605246031. The reversal of 27787605246025 is 52064250678772.

The square root of 27787605246025 is 5271395.

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

It can be written as a sum of positive squares in only one way, i.e., 10003537888569 + 17784067357456 = 3162837^2 + 4217116^2 .

It is not a de Polignac number, because 27787605246025 - 2³ = 27787605246017 is a prime.

It is a super-2 number, since 2×27787605246025² (a number of 28 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 58011701736 + ... + 58011702214.

Almost surely, 2^{27787605246025} is an apocalyptic number.

27787605246025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27787605246025 is the 5271395-th square number.

27787605246025 is the 2635698-th centered octagonal number.

It is an amenable number.

27787605246025 is a deficient number, since it is larger than the sum of its proper divisors (8400460839134).

27787605246025 is an frugal number, since it uses more digits than its factorization.

27787605246025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 61.

The spelling of 27787605246025 in words is "twenty-seven trillion, seven hundred eighty-seven billion, six hundred five million, two hundred forty-six thousand, twenty-five".