279660111241 has 27 divisors (see below), whose sum is σ = 336289577607. Its totient is φ = 231880939920.

The previous prime is 279660111229. The next prime is 279660111287. The reversal of 279660111241 is 142111066972.

It is a happy number.

The square root of 279660111241 is 528829.

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., 263379372025 + 16280739216 = 513205^2 + 127596^2 .

It is not a de Polignac number, because 279660111241 - 2¹⁷ = 279659980169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 279660111194 and 279660111203.

It is not an unprimeable number, because it can be changed into a prime (279660111221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114754675 + ... + 114757111.

It is an arithmetic number, because the mean of its divisors is an integer number (12455169541).

Almost surely, 2^279660111241 is an apocalyptic number.

279660111241 is the 528829-th square number.

279660111241 is the 264415-th centered octagonal number.

It is an amenable number.

279660111241 is a deficient number, since it is larger than the sum of its proper divisors (56629466366).

279660111241 is an frugal number, since it uses more digits than its factorization.

279660111241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 279660111241 in words is "two hundred seventy-nine billion, six hundred sixty million, one hundred eleven thousand, two hundred forty-one".