10509564 has 24 divisors (see below), whose sum is σ = 26409040. Its totient is φ = 3233664.

The previous prime is 10509563. The next prime is 10509599. The reversal of 10509564 is 46590501.

10509564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10509564² = 220901870940192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33529 + ... + 33840.

Almost surely, 2^10509564 is an apocalyptic number.

It is an amenable number.

10509564 is an abundant number, since it is smaller than the sum of its proper divisors (15899476).

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

10509564 is a wasteful number, since it uses less digits than its factorization.

10509564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67389 (or 67387 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 10509564 is about 3241.8457705449. The cubic root of 10509564 is about 219.0424220899.

The spelling of 10509564 in words is "ten million, five hundred nine thousand, five hundred sixty-four".