10005042504253 has 16 divisors (see below), whose sum is σ = 10983725012736. Its totient is φ = 9084283781760.

The previous prime is 10005042504229. The next prime is 10005042504277. The reversal of 10005042504253 is 35240524050001.

It is an interprime number because it is at equal distance from previous prime (10005042504229) and next prime (10005042504277).

It is a cyclic number.

It is not a de Polignac number, because 10005042504253 - 2¹⁷ = 10005042373181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005042504293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143340801 + ... + 143410582.

It is an arithmetic number, because the mean of its divisors is an integer number (686482813296).

Almost surely, 2^{10005042504253} is an apocalyptic number.

It is an amenable number.

10005042504253 is a deficient number, since it is larger than the sum of its proper divisors (978682508483).

10005042504253 is a wasteful number, since it uses less digits than its factorization.

10005042504253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286751484.

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 10005042504253 its reverse (35240524050001), we get a palindrome (45245566554254).

The spelling of 10005042504253 in words is "ten trillion, five billion, forty-two million, five hundred four thousand, two hundred fifty-three".