10075309013953 has 16 divisors (see below), whose sum is σ = 10975966444800. Its totient is φ = 9211969468800.

The previous prime is 10075309013947. The next prime is 10075309013977. The reversal of 10075309013953 is 35931090357001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10075309013953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10075309013923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593476 + ... + 5184277.

It is an arithmetic number, because the mean of its divisors is an integer number (685997902800).

Almost surely, 2^{10075309013953} is an apocalyptic number.

It is an amenable number.

10075309013953 is a deficient number, since it is larger than the sum of its proper divisors (900657430847).

10075309013953 is a wasteful number, since it uses less digits than its factorization.

10075309013953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780152.

The product of its (nonzero) digits is 382725, while the sum is 46.

The spelling of 10075309013953 in words is "ten trillion, seventy-five billion, three hundred nine million, thirteen thousand, nine hundred fifty-three".