10523552 has 48 divisors (see below), whose sum is σ = 22893192. Its totient is φ = 4730880.

The previous prime is 10523533. The next prime is 10523567. The reversal of 10523552 is 25532501.

It can be written as a sum of positive squares in 4 ways, for example, as 1547536 + 8976016 = 1244^2 + 2996^2 .

It is a super-2 number, since 2×10523552² = 221490293393408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16748 + ... + 17364.

Almost surely, 2^10523552 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 10523552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446596).

10523552 is an abundant number, since it is smaller than the sum of its proper divisors (12369640).

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

10523552 is a wasteful number, since it uses less digits than its factorization.

10523552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 10523552 is about 3244.0024660903. The cubic root of 10523552 is about 219.1395592324.

The spelling of 10523552 in words is "ten million, five hundred twenty-three thousand, five hundred fifty-two".