10053520 has 20 divisors (see below), whose sum is σ = 23374620. Its totient is φ = 4021376.

The previous prime is 10053499. The next prime is 10053523. The reversal of 10053520 is 2535001.

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 4963984 = 2256^2 + 2228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10053494 and 10053503.

It is not an unprimeable number, because it can be changed into a prime (10053523) 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 3 ways as a sum of consecutive naturals, for example, 62755 + ... + 62914.

It is an arithmetic number, because the mean of its divisors is an integer number (1168731).

Almost surely, 2^10053520 is an apocalyptic number.

10053520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10053520 is an abundant number, since it is smaller than the sum of its proper divisors (13321100).

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

10053520 is a wasteful number, since it uses less digits than its factorization.

10053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125682 (or 125676 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 10053520 is about 3170.7286228878. The cubic root of 10053520 is about 215.8271365010.

Adding to 10053520 its reverse (2535001), we get a palindrome (12588521).

The spelling of 10053520 in words is "ten million, fifty-three thousand, five hundred twenty".