11553885121 has 9 divisors (see below), whose sum is σ = 11810106849. Its totient is φ = 11303113284.

The previous prime is 11553885089. The next prime is 11553885131. The reversal of 11553885121 is 12158835511.

The square root of 11553885121 is 107489.

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

It is not a de Polignac number, because 11553885121 - 2⁵ = 11553885089 is a prime.

It is a super-2 number, since 2×11553885121² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11553885131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5050840 + ... + 5053126.

Almost surely, 2^11553885121 is an apocalyptic number.

11553885121 is the 107489-th square number.

11553885121 is the 53745-th centered octagonal number.

It is an amenable number.

11553885121 is a deficient number, since it is larger than the sum of its proper divisors (256221728).

11553885121 is an frugal number, since it uses more digits than its factorization.

11553885121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 2334 counting only the distinct ones).

The product of its digits is 48000, while the sum is 40.

The spelling of 11553885121 in words is "eleven billion, five hundred fifty-three million, eight hundred eighty-five thousand, one hundred twenty-one".