1153753108641 has 45 divisors (see below), whose sum is σ = 1944438069041. Its totient is φ = 659197263816.

The previous prime is 1153753108633. The next prime is 1153753108661. The reversal of 1153753108641 is 1468013573511.

The square root of 1153753108641 is 1074129.

It is a perfect power (a square), and thus also a powerful number.

1153753108641 is a `hidden beast` number, since 1 + 1 + 5 + 37 + 531 + 0 + 86 + 4 + 1 = 666.

It is not a de Polignac number, because 1153753108641 - 2³ = 1153753108633 is a prime.

It is a super-2 number, since 2×1153753108641² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1153753108621) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157893310 + ... + 157900616.

Almost surely, 2^{1153753108641} is an apocalyptic number.

1153753108641 is the 1074129-th square number.

1153753108641 is the 537065-th centered octagonal number.

It is an amenable number.

1153753108641 is a deficient number, since it is larger than the sum of its proper divisors (790684960400).

1153753108641 is an frugal number, since it uses more digits than its factorization.

1153753108641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14648 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1153753108641 in words is "one trillion, one hundred fifty-three billion, seven hundred fifty-three million, one hundred eight thousand, six hundred forty-one".