1153113016561 has 27 divisors (see below), whose sum is σ = 1299685122337. Its totient is φ = 1022287112000.

The previous prime is 1153113016543. The next prime is 1153113016571. The reversal of 1153113016561 is 1656103113511.

The square root of 1153113016561 is 1073831.

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 1082367656161 + 70745360400 = 1040369^2 + 265980^2 .

It is not a de Polignac number, because 1153113016561 - 2¹⁷ = 1153112885489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1153113016571) 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 26 ways as a sum of consecutive naturals, for example, 484296591 + ... + 484298971.

Almost surely, 2^{1153113016561} is an apocalyptic number.

1153113016561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1153113016561 is the 1073831-st square number.

1153113016561 is the 536916-th centered octagonal number.

It is an amenable number.

1153113016561 is a deficient number, since it is larger than the sum of its proper divisors (146572105776).

1153113016561 is an frugal number, since it uses more digits than its factorization.

1153113016561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The spelling of 1153113016561 in words is "one trillion, one hundred fifty-three billion, one hundred thirteen million, sixteen thousand, five hundred sixty-one".