10424100053 has 16 divisors (see below), whose sum is σ = 10617485424. Its totient is φ = 10232801280.

The previous prime is 10424100041. The next prime is 10424100067. The reversal of 10424100053 is 35000142401.

10424100053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 324252049 + 10099848004 = 18007^2 + 100498^2 .

It is a cyclic number.

It is not a de Polignac number, because 10424100053 - 2²⁶ = 10356991189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10424099998 and 10424100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11885651 + ... + 11886527.

It is an arithmetic number, because the mean of its divisors is an integer number (663592839).

Almost surely, 2^10424100053 is an apocalyptic number.

It is an amenable number.

10424100053 is a deficient number, since it is larger than the sum of its proper divisors (193385371).

10424100053 is an equidigital number, since it uses as much as digits as its factorization.

10424100053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10424100053 its reverse (35000142401), we get a palindrome (45424242454).

The spelling of 10424100053 in words is "ten billion, four hundred twenty-four million, one hundred thousand, fifty-three".