1091187070801 has 27 divisors (see below), whose sum is σ = 1187565215121. Its totient is φ = 1002413913984.

The previous prime is 1091187070781. The next prime is 1091187070811. The reversal of 1091187070801 is 1080707811901.

The square root of 1091187070801 is 1044599.

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 55424930625 + 1035762140176 = 235425^2 + 1017724^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1091187070801 is a prime.

It is a super-3 number, since 3×1091187070801³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1091187070811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 763601155 + ... + 763602583.

Almost surely, 2^{1091187070801} is an apocalyptic number.

1091187070801 is the 1044599-th square number.

1091187070801 is the 522300-th centered octagonal number.

It is an amenable number.

1091187070801 is a deficient number, since it is larger than the sum of its proper divisors (96378144320).

1091187070801 is an frugal number, since it uses more digits than its factorization.

1091187070801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 43.

The spelling of 1091187070801 in words is "one trillion, ninety-one billion, one hundred eighty-seven million, seventy thousand, eight hundred one".