10512528 has 80 divisors (see below), whose sum is σ = 30998016. Its totient is φ = 3041280.

The previous prime is 10512493. The next prime is 10512533. The reversal of 10512528 is 82521501.

It is a super-2 number, since 2×10512528² = 221026489901568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10512498 and 10512507.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10113 + ... + 11103.

Almost surely, 2^10512528 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 10512528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

10512528 is an abundant number, since it is smaller than the sum of its proper divisors (20485488).

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

10512528 is a wasteful number, since it uses less digits than its factorization.

10512528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 10512528 is about 3242.3028852962. The cubic root of 10512528 is about 219.0630122468.

The spelling of 10512528 in words is "ten million, five hundred twelve thousand, five hundred twenty-eight".