10523538 has 24 divisors (see below), whose sum is σ = 23060700. Its totient is φ = 3467904.

The previous prime is 10523533. The next prime is 10523567. The reversal of 10523538 is 83532501.

10523538 is a `hidden beast` number, since 105 + 23 + 538 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10478169 + 45369 = 3237^2 + 213^2 .

It is a super-2 number, since 2×10523538² = 221489704074888, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10523531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1683 + ... + 4886.

Almost surely, 2^10523538 is an apocalyptic number.

10523538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10523538 is an abundant number, since it is smaller than the sum of its proper divisors (12537162).

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

10523538 is a wasteful number, since it uses less digits than its factorization.

10523538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10523538 is about 3244.0003082614. Note that the first 3 decimals coincide. The cubic root of 10523538 is about 219.1394620550.

The spelling of 10523538 in words is "ten million, five hundred twenty-three thousand, five hundred thirty-eight".