10005035253 has 8 divisors (see below), whose sum is σ = 13343308416. Its totient is φ = 6668392800.

The previous prime is 10005035237. The next prime is 10005035311. The reversal of 10005035253 is 35253050001.

10005035253 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10005035253 - 2⁴ = 10005035237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005035203) 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 7 ways as a sum of consecutive naturals, for example, 393288 + ... + 417953.

It is an arithmetic number, because the mean of its divisors is an integer number (1667913552).

Almost surely, 2^10005035253 is an apocalyptic number.

It is an amenable number.

10005035253 is a deficient number, since it is larger than the sum of its proper divisors (3338273163).

10005035253 is an equidigital number, since it uses as much as digits as its factorization.

10005035253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815355.

The product of its (nonzero) digits is 2250, while the sum is 24.

Adding to 10005035253 its reverse (35253050001), we get a palindrome (45258085254).

The spelling of 10005035253 in words is "ten billion, five million, thirty-five thousand, two hundred fifty-three".