10005063077753 has 8 divisors (see below), whose sum is σ = 10440446989248. Its totient is φ = 9569710930384.

The previous prime is 10005063077687. The next prime is 10005063077761. The reversal of 10005063077753 is 35777036050001.

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

It is a cyclic number.

It is not a de Polignac number, because 10005063077753 - 2¹⁸ = 10005062815609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005063071753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7296251 + ... + 8558352.

It is an arithmetic number, because the mean of its divisors is an integer number (1305055873656).

Almost surely, 2^{10005063077753} is an apocalyptic number.

It is an amenable number.

10005063077753 is a deficient number, since it is larger than the sum of its proper divisors (435383911495).

10005063077753 is a wasteful number, since it uses less digits than its factorization.

10005063077753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15882063.

The product of its (nonzero) digits is 463050, while the sum is 44.

The spelling of 10005063077753 in words is "ten trillion, five billion, sixty-three million, seventy-seven thousand, seven hundred fifty-three".