10513965 has 32 divisors (see below), whose sum is σ = 20975616. Its totient is φ = 4368960.

The previous prime is 10513961. The next prime is 10513969. The reversal of 10513965 is 56931501.

It is an interprime number because it is at equal distance from previous prime (10513961) and next prime (10513969).

It is not a de Polignac number, because 10513965 - 2² = 10513961 is a prime.

It is a super-2 number, since 2×10513965² = 221086920042450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513961) 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 31 ways as a sum of consecutive naturals, for example, 3397 + ... + 5706.

It is an arithmetic number, because the mean of its divisors is an integer number (655488).

Almost surely, 2^10513965 is an apocalyptic number.

10513965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10513965 is a deficient number, since it is larger than the sum of its proper divisors (10461651).

10513965 is a wasteful number, since it uses less digits than its factorization.

10513965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 10513965 is about 3242.5244794758. The cubic root of 10513965 is about 219.0729933286.

The spelling of 10513965 in words is "ten million, five hundred thirteen thousand, nine hundred sixty-five".