10053235413 has 24 divisors (see below), whose sum is σ = 16558273368. Its totient is φ = 5822687232.

The previous prime is 10053235403. The next prime is 10053235459. The reversal of 10053235413 is 31453235001.

10053235413 is a `hidden beast` number, since 10 + 0 + 5 + 3 + 235 + 413 = 666.

10053235413 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 4 ways, for example, as 3120674769 + 6932560644 = 55863^2 + 83262^2 .

It is not a de Polignac number, because 10053235413 - 2⁶ = 10053235349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053235403) 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 23 ways as a sum of consecutive naturals, for example, 2525220 + ... + 2529197.

It is an arithmetic number, because the mean of its divisors is an integer number (689928057).

Almost surely, 2^10053235413 is an apocalyptic number.

10053235413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10053235413 is a deficient number, since it is larger than the sum of its proper divisors (6505037955).

10053235413 is a wasteful number, since it uses less digits than its factorization.

10053235413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054453 (or 5054450 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10053235413 in words is "ten billion, fifty-three million, two hundred thirty-five thousand, four hundred thirteen".