1091542263361 has 81 divisors (see below), whose sum is σ = 1318631877801. Its totient is φ = 902680416000.

The previous prime is 1091542263359. The next prime is 1091542263379. The reversal of 1091542263361 is 1633622451901.

The square root of 1091542263361 is 1044769.

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 507754579761 + 583787683600 = 712569^2 + 764060^2 .

It is not a de Polignac number, because 1091542263361 - 2¹ = 1091542263359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1091542263341) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7228756636 + ... + 7228756786.

Almost surely, 2^{1091542263361} is an apocalyptic number.

1091542263361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1091542263361 is the 1044769-th square number.

1091542263361 is the 522385-th centered octagonal number.

It is an amenable number.

1091542263361 is a deficient number, since it is larger than the sum of its proper divisors (227089614440).

1091542263361 is an equidigital number, since it uses as much as digits as its factorization.

1091542263361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 1091542263361 in words is "one trillion, ninety-one billion, five hundred forty-two million, two hundred sixty-three thousand, three hundred sixty-one".