111531954035161 has 27 divisors (see below), whose sum is σ = 124643560811679. Its totient is φ = 99724173793200.

The previous prime is 111531954035077. The next prime is 111531954035263. The reversal of 111531954035161 is 161530459135111.

The square root of 111531954035161 is 10560869.

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., 3626811727561 + 107905142307600 = 1904419^2 + 10387740^2 .

It is not a de Polignac number, because 111531954035161 - 2³⁹ = 110982198221273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111531954035461) 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, 7086335230 + ... + 7086350968.

Almost surely, 2^{111531954035161} is an apocalyptic number.

111531954035161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111531954035161 is the 10560869-th square number.

111531954035161 is the 5280435-th centered octagonal number.

It is an amenable number.

111531954035161 is a deficient number, since it is larger than the sum of its proper divisors (13111606776518).

111531954035161 is an frugal number, since it uses more digits than its factorization.

111531954035161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31622 (or 15811 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 46.

The spelling of 111531954035161 in words is "one hundred eleven trillion, five hundred thirty-one billion, nine hundred fifty-four million, thirty-five thousand, one hundred sixty-one".