1132772311 has 8 divisors (see below), whose sum is σ = 1236268800. Its totient is φ = 1029362040.

The previous prime is 1132772273. The next prime is 1132772321.

1132772311 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1132772311 - 2¹³ = 1132764119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1132772311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132772321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7650 + ... + 48208.

It is an arithmetic number, because the mean of its divisors is an integer number (154533600).

Almost surely, 2^1132772311 is an apocalyptic number.

1132772311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1132772311 is a deficient number, since it is larger than the sum of its proper divisors (103496489).

1132772311 is a wasteful number, since it uses less digits than its factorization.

1132772311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43109.

The product of its digits is 1764, while the sum is 28.

The square root of 1132772311 is about 33656.6830064996. The cubic root of 1132772311 is about 1042.4315366212.

It can be divided in two parts, 11327 and 72311, that added together give a palindrome (83638).

The spelling of 1132772311 in words is "one billion, one hundred thirty-two million, seven hundred seventy-two thousand, three hundred eleven".