27079006249 has 9 divisors (see below), whose sum is σ = 27439290333. Its totient is φ = 26723398572.

The previous prime is 27079006193. The next prime is 27079006267. The reversal of 27079006249 is 94260097072.

It is a happy number.

The square root of 27079006249 is 164557.

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

It is not a de Polignac number, because 27079006249 - 2¹¹ = 27079004201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27079006199 and 27079006208.

It is not an unprimeable number, because it can be changed into a prime (27079003249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12998962 + ... + 13001044.

It is an arithmetic number, because the mean of its divisors is an integer number (3048810037).

Almost surely, 2^27079006249 is an apocalyptic number.

27079006249 is the 164557-th square number.

27079006249 is the 82279-th centered octagonal number.

It is an amenable number.

27079006249 is a deficient number, since it is larger than the sum of its proper divisors (360284084).

27079006249 is an frugal number, since it uses more digits than its factorization.

27079006249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 27079006249 in words is "twenty-seven billion, seventy-nine million, six thousand, two hundred forty-nine".