10506528 has 54 divisors (see below), whose sum is σ = 30035187. Its totient is φ = 3483840.

The previous prime is 10506523. The next prime is 10506533. The reversal of 10506528 is 82560501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10506528 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 652 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10506523) and next prime (10506533).

It can be written as a sum of positive squares in only one way, i.e., 5253264 + 5253264 = 2292^2 + 2292^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2292.

It is a super-2 number, since 2×10506528² = 220774261229568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506523) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54913 + ... + 55103.

Almost surely, 2^10506528 is an apocalyptic number.

10506528 is a gapful number since it is divisible by the number (18) 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 10506528

10506528 is an abundant number, since it is smaller than the sum of its proper divisors (19528659).

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

10506528 is an equidigital number, since it uses as much as digits as its factorization.

10506528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 196 counting only the distinct ones).

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

The square root of 10506528 is about 3241.3774849591. The cubic root of 10506528 is about 219.0213277534.

The spelling of 10506528 in words is "ten million, five hundred six thousand, five hundred twenty-eight".