1117268026081 has 27 divisors (see below), whose sum is σ = 1201091192427. Its totient is φ = 1039082127360.

The previous prime is 1117268026027. The next prime is 1117268026097. The reversal of 1117268026081 is 1806208627111.

The square root of 1117268026081 is 1057009.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5930386081 + 1111337640000 = 77009^2 + 1054200^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1117268026081 is a prime.

It is a super-2 number, since 2×1117268026081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1117268096081) 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, 1743007521 + ... + 1743008161.

Almost surely, 2^{1117268026081} is an apocalyptic number.

1117268026081 is the 1057009-th square number.

1117268026081 is the 528505-th centered octagonal number.

It is an amenable number.

1117268026081 is a deficient number, since it is larger than the sum of its proper divisors (83823166346).

1117268026081 is an frugal number, since it uses more digits than its factorization.

1117268026081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 1117268026081 in words is "one trillion, one hundred seventeen billion, two hundred sixty-eight million, twenty-six thousand, eighty-one".