1117559779609 has 27 divisors (see below), whose sum is σ = 1407833548317. Its totient is φ = 884147007744.

The previous prime is 1117559779549. The next prime is 1117559779619. The reversal of 1117559779609 is 9069779557111.

The square root of 1117559779609 is 1057147.

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 304424752009 + 813135027600 = 551747^2 + 901740^2 .

It is not a de Polignac number, because 1117559779609 - 2¹⁷ = 1117559648537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1117559779619) 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, 96194569 + ... + 96206185.

It is an arithmetic number, because the mean of its divisors is an integer number (52141983271).

Almost surely, 2^{1117559779609} is an apocalyptic number.

1117559779609 is the 1057147-th square number.

1117559779609 is the 528574-th centered octagonal number.

It is an amenable number.

1117559779609 is a deficient number, since it is larger than the sum of its proper divisors (290273768708).

1117559779609 is an frugal number, since it uses more digits than its factorization.

1117559779609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23274 (or 11637 counting only the distinct ones).

The product of its (nonzero) digits is 37507050, while the sum is 67.

The spelling of 1117559779609 in words is "one trillion, one hundred seventeen billion, five hundred fifty-nine million, seven hundred seventy-nine thousand, six hundred nine".