11752511281 has 27 divisors (see below), whose sum is σ = 14538746667. Its totient is φ = 9470610240.

The previous prime is 11752511279. The next prime is 11752511311. The reversal of 11752511281 is 18211525711.

It is a happy number.

The square root of 11752511281 is 108409.

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., 9149879025 + 2602632256 = 95655^2 + 51016^2 .

It is not a de Polignac number, because 11752511281 - 2¹ = 11752511279 is a prime.

It is a super-2 number, since 2×11752511281² (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 (11752511201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12900216 + ... + 12901126.

Almost surely, 2^11752511281 is an apocalyptic number.

11752511281 is the 108409-th square number.

11752511281 is the 54205-th centered octagonal number.

It is an amenable number.

11752511281 is a deficient number, since it is larger than the sum of its proper divisors (2786235386).

11752511281 is an frugal number, since it uses more digits than its factorization.

11752511281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 935 counting only the distinct ones).

The product of its digits is 5600, while the sum is 34.

The spelling of 11752511281 in words is "eleven billion, seven hundred fifty-two million, five hundred eleven thousand, two hundred eighty-one".