11525031000 has 768 divisors, whose sum is σ = 48734899200. Its totient is φ = 2467584000.

The previous prime is 11525030987. The next prime is 11525031029. The reversal of 11525031000 is 13052511.

11525031000 is a `hidden beast` number, since 1 + 152 + 503 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×11525031000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54620895 + ... + 54621105.

It is an arithmetic number, because the mean of its divisors is an integer number (63456900).

Almost surely, 2^11525031000 is an apocalyptic number.

11525031000 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 11525031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24367449600).

11525031000 is an abundant number, since it is smaller than the sum of its proper divisors (37209868200).

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

11525031000 is a wasteful number, since it uses less digits than its factorization.

11525031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 11525031000 its reverse (13052511), we get a palindrome (11538083511).

The spelling of 11525031000 in words is "eleven billion, five hundred twenty-five million, thirty-one thousand".