11531952 has 60 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 3768960.

The previous prime is 11531951. The next prime is 11531953. The reversal of 11531952 is 25913511.

It is an interprime number because it is at equal distance from previous prime (11531951) and next prime (11531953).

It is not an unprimeable number, because it can be changed into a prime (11531951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6877 + ... + 8387.

Almost surely, 2^11531952 is an apocalyptic number.

11531952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11531952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

11531952 is an abundant number, since it is smaller than the sum of its proper divisors (21372192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11531952 is a wasteful number, since it uses less digits than its factorization.

11531952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1569 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 11531952 is about 3395.8727891368. The cubic root of 11531952 is about 225.9267259257.

The spelling of 11531952 in words is "eleven million, five hundred thirty-one thousand, nine hundred fifty-two".