10532512 has 36 divisors (see below), whose sum is σ = 21328650. Its totient is φ = 5119616.

The previous prime is 10532497. The next prime is 10532519. The reversal of 10532512 is 21523501.

It can be written as a sum of positive squares in only one way, i.e., 10214416 + 318096 = 3196^2 + 564^2 .

It is a super-2 number, since 2×10532512² = 221867618060288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10532512.

It is not an unprimeable number, because it can be changed into a prime (10532519) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70614 + ... + 70762.

Almost surely, 2^10532512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10532512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664325).

10532512 is an abundant number, since it is smaller than the sum of its proper divisors (10796138).

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

10532512 is an equidigital number, since it uses as much as digits as its factorization.

10532512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 10532512 is about 3245.3831823068. The cubic root of 10532512 is about 219.2017351169.

The spelling of 10532512 in words is "ten million, five hundred thirty-two thousand, five hundred twelve".