1141331125561 has 81 divisors (see below), whose sum is σ = 1387237185607. Its totient is φ = 938080084480.

The previous prime is 1141331125553. The next prime is 1141331125577. The reversal of 1141331125561 is 1655211331411.

It is a happy number.

The square root of 1141331125561 is 1068331.

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 35468565561 + 1105862560000 = 188331^2 + 1051600^2 .

It is not a de Polignac number, because 1141331125561 - 2³ = 1141331125553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1141331125061) 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, 5793558915 + ... + 5793559111.

Almost surely, 2^{1141331125561} is an apocalyptic number.

1141331125561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1141331125561 is the 1068331-st square number.

1141331125561 is the 534166-th centered octagonal number.

It is an amenable number.

1141331125561 is a deficient number, since it is larger than the sum of its proper divisors (245906060046).

1141331125561 is an equidigital number, since it uses as much as digits as its factorization.

1141331125561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its digits is 10800, while the sum is 34.

Adding to 1141331125561 its reverse (1655211331411), we get a palindrome (2796542456972).

The spelling of 1141331125561 in words is "one trillion, one hundred forty-one billion, three hundred thirty-one million, one hundred twenty-five thousand, five hundred sixty-one".