10513820 has 48 divisors (see below), whose sum is σ = 23677920. Its totient is φ = 3921152.

The previous prime is 10513817. The next prime is 10513831. The reversal of 10513820 is 2831501.

It is a super-2 number, since 2×10513820² = 221080821984800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10513792 and 10513801.

It is a congruent number.

It is an unprimeable number.

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, 98207 + ... + 98313.

It is an arithmetic number, because the mean of its divisors is an integer number (493290).

Almost surely, 2^10513820 is an apocalyptic number.

10513820 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 10513820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838960).

10513820 is an abundant number, since it is smaller than the sum of its proper divisors (13164100).

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

10513820 is a wasteful number, since it uses less digits than its factorization.

10513820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10513820 is about 3242.5021202769. The cubic root of 10513820 is about 219.0719862322.

The spelling of 10513820 in words is "ten million, five hundred thirteen thousand, eight hundred twenty".