1153731626161 has 9 divisors (see below), whose sum is σ = 1192183736043. Its totient is φ = 1116482253360.

The previous prime is 1153731626143. The next prime is 1153731626207. The reversal of 1153731626161 is 1616261373511.

The square root of 1153731626161 is 1074119.

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., 206224066161 + 947507560000 = 454119^2 + 973400^2 .

It is not a de Polignac number, because 1153731626161 - 2⁹ = 1153731625649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1153731620161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33280365 + ... + 33315013.

Almost surely, 2^{1153731626161} is an apocalyptic number.

1153731626161 is the 1074119-th square number.

1153731626161 is the 537060-th centered octagonal number.

It is an amenable number.

1153731626161 is a deficient number, since it is larger than the sum of its proper divisors (38452109882).

1153731626161 is an frugal number, since it uses more digits than its factorization.

1153731626161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69360 (or 34680 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

Adding to 1153731626161 its reverse (1616261373511), we get a palindrome (2769992999672).

The spelling of 1153731626161 in words is "one trillion, one hundred fifty-three billion, seven hundred thirty-one million, six hundred twenty-six thousand, one hundred sixty-one".