11532524010 has 128 divisors (see below), whose sum is σ = 32049561600. Its totient is φ = 2601456384.

The previous prime is 11532524009. The next prime is 11532524011. The reversal of 11532524010 is 1042523511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11532524009) and next prime (11532524011).

It is a super-2 number, since 2×11532524010² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11532524011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5224327 + ... + 5226533.

It is an arithmetic number, because the mean of its divisors is an integer number (250387200).

Almost surely, 2^11532524010 is an apocalyptic number.

11532524010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532524010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16024780800).

11532524010 is an abundant number, since it is smaller than the sum of its proper divisors (20517037590).

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

11532524010 is a wasteful number, since it uses less digits than its factorization.

11532524010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 11532524010 in words is "eleven billion, five hundred thirty-two million, five hundred twenty-four thousand, ten".