11531000 has 64 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 4252800.

The previous prime is 11530999. The next prime is 11531011. The reversal of 11531000 is 13511.

It is a super-2 number, since 2×11531000² = 265927922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12557 + ... + 13443.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 2^11531000 is an apocalyptic number.

11531000 is a gapful number since it is divisible by the number (10) 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 11531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

11531000 is an abundant number, since it is smaller than the sum of its proper divisors (17559880).

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

11531000 is a wasteful number, since it uses less digits than its factorization.

11531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 11531000 is about 3395.7326160933. The cubic root of 11531000 is about 225.9205087603.

Adding to 11531000 its reverse (13511), we get a palindrome (11544511).

The spelling of 11531000 in words is "eleven million, five hundred thirty-one thousand".