10536512 has 56 divisors (see below), whose sum is σ = 24749760. Its totient is φ = 4354560.

The previous prime is 10536503. The next prime is 10536517. The reversal of 10536512 is 21563501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10536512² = 222036170252288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10536517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12587 + ... + 13397.

It is an arithmetic number, because the mean of its divisors is an integer number (441960).

Almost surely, 2^10536512 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 10536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374880).

10536512 is an abundant number, since it is smaller than the sum of its proper divisors (14213248).

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

10536512 is an equidigital number, since it uses as much as digits as its factorization.

10536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 10536512 is about 3245.9993838570. Note that the first 3 decimals coincide. The cubic root of 10536512 is about 219.2294808236.

The spelling of 10536512 in words is "ten million, five hundred thirty-six thousand, five hundred twelve".