10513953 has 12 divisors (see below), whose sum is σ = 15218580. Its totient is φ = 6994656.

The previous prime is 10513933. The next prime is 10513961. The reversal of 10513953 is 35931501.

It can be written as a sum of positive squares in 2 ways, for example, as 6640929 + 3873024 = 2577^2 + 1968^2 .

It is not a de Polignac number, because 10513953 - 2⁶ = 10513889 is a prime.

It is a super-2 number, since 2×10513953² = 221086415372418, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10513903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4983 + ... + 6771.

It is an arithmetic number, because the mean of its divisors is an integer number (1268215).

Almost surely, 2^10513953 is an apocalyptic number.

It is an amenable number.

10513953 is a deficient number, since it is larger than the sum of its proper divisors (4704627).

10513953 is a wasteful number, since it uses less digits than its factorization.

10513953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 10513953 is about 3242.5226290652. The cubic root of 10513953 is about 219.0729099830.

The spelling of 10513953 in words is "ten million, five hundred thirteen thousand, nine hundred fifty-three".