10509520 has 80 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 3593856.

The previous prime is 10509509. The next prime is 10509523. The reversal of 10509520 is 2590501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10509520² = 220900021260800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10509491 and 10509500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27249 + ... + 27631.

It is an arithmetic number, because the mean of its divisors is an integer number (357120).

Almost surely, 2^10509520 is an apocalyptic number.

10509520 is a gapful number since it is divisible by the number (10) 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 10509520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

10509520 is an abundant number, since it is smaller than the sum of its proper divisors (18060080).

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

10509520 is an equidigital number, since it uses as much as digits as its factorization.

10509520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 10509520 is about 3241.8389842804. The cubic root of 10509520 is about 219.0421164039.

The spelling of 10509520 in words is "ten million, five hundred nine thousand, five hundred twenty".