10513520 has 40 divisors (see below), whose sum is σ = 24681456. Its totient is φ = 4164608.

The previous prime is 10513511. The next prime is 10513523. The reversal of 10513520 is 2531501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10513520² = 221068205580800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513523) 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, 8459 + ... + 9621.

Almost surely, 2^10513520 is an apocalyptic number.

10513520 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 10513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340728).

10513520 is an abundant number, since it is smaller than the sum of its proper divisors (14167936).

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

10513520 is a wasteful number, since it uses less digits than its factorization.

10513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 10513520 is about 3242.4558593757. The cubic root of 10513520 is about 219.0699025550.

The spelling of 10513520 in words is "ten million, five hundred thirteen thousand, five hundred twenty".