11312251524 has 108 divisors (see below), whose sum is σ = 33891297804. Its totient is φ = 3171063168.

The previous prime is 11312251513. The next prime is 11312251579. The reversal of 11312251524 is 42515221311.

It is a happy number.

11312251524 is a `hidden beast` number, since 1 + 1 + 3 + 122 + 515 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6908601924 + 4403649600 = 83118^2 + 66360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32994 + ... + 153990.

It is an arithmetic number, because the mean of its divisors is an integer number (313808313).

Almost surely, 2^11312251524 is an apocalyptic number.

11312251524 is a gapful number since it is divisible by the number (14) 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 11312251524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945648902).

11312251524 is an abundant number, since it is smaller than the sum of its proper divisors (22579046280).

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

11312251524 is a wasteful number, since it uses less digits than its factorization.

11312251524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121074 (or 121062 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 11312251524 its reverse (42515221311), we get a palindrome (53827472835).

The spelling of 11312251524 in words is "eleven billion, three hundred twelve million, two hundred fifty-one thousand, five hundred twenty-four".