1117314534961 has 9 divisors (see below), whose sum is σ = 1120672191531. Its totient is φ = 1113966917784.

The previous prime is 1117314534923. The next prime is 1117314534989. The reversal of 1117314534961 is 1694354137111.

The square root of 1117314534961 is 1057031.

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., 702192044961 + 415122490000 = 837969^2 + 644300^2 .

It is not a de Polignac number, because 1117314534961 - 2¹⁵ = 1117314502193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1117314534991) 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, 400613355 + ... + 400616143.

Almost surely, 2^{1117314534961} is an apocalyptic number.

1117314534961 is the 1057031-st square number.

1117314534961 is the 528516-th centered octagonal number.

It is an amenable number.

1117314534961 is a deficient number, since it is larger than the sum of its proper divisors (3357656570).

1117314534961 is an frugal number, since it uses more digits than its factorization.

1117314534961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 3168 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The spelling of 1117314534961 in words is "one trillion, one hundred seventeen billion, three hundred fourteen million, five hundred thirty-four thousand, nine hundred sixty-one".