10513565 has 16 divisors (see below), whose sum is σ = 13452480. Its totient is φ = 7860480.

The previous prime is 10513561. The next prime is 10513577. The reversal of 10513565 is 56531501.

It is not a de Polignac number, because 10513565 - 2² = 10513561 is a prime.

It is a super-2 number, since 2×10513565² = 221070098018450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14870 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (840780).

Almost surely, 2^10513565 is an apocalyptic number.

It is an amenable number.

10513565 is a deficient number, since it is larger than the sum of its proper divisors (2938915).

10513565 is a wasteful number, since it uses less digits than its factorization.

10513565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 10513565 is about 3242.4627985530. The cubic root of 10513565 is about 219.0702151091.

The spelling of 10513565 in words is "ten million, five hundred thirteen thousand, five hundred sixty-five".