10513200 has 60 divisors (see below), whose sum is σ = 33681128. Its totient is φ = 2803200.

The previous prime is 10513189. The next prime is 10513201. The reversal of 10513200 is 231501.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10513200² = 221054748480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10513201) 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, 3181 + ... + 5580.

Almost surely, 2^10513200 is an apocalyptic number.

10513200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513200 is an abundant number, since it is smaller than the sum of its proper divisors (23167928).

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

10513200 is a wasteful number, since it uses less digits than its factorization.

10513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10513200 is about 3242.4065136870. The cubic root of 10513200 is about 219.0676799223.

Adding to 10513200 its reverse (231501), we get a palindrome (10744701).

The spelling of 10513200 in words is "ten million, five hundred thirteen thousand, two hundred".