10036072742753 has 8 divisors (see below), whose sum is σ = 10042605770088. Its totient is φ = 10029540104064.

The previous prime is 10036072742693. The next prime is 10036072742803. The reversal of 10036072742753 is 35724727063001.

It can be written as a sum of positive squares in 4 ways, for example, as 1831239552289 + 8204833190464 = 1353233^2 + 2864408^2 .

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 10036072742753 - 2¹⁰ = 10036072741729 is a prime.

It is a super-2 number, since 2×10036072742753² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10036072742698 and 10036072742707.

It is not an unprimeable number, because it can be changed into a prime (10036072742053) 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, 66084575 + ... + 66236267.

It is an arithmetic number, because the mean of its divisors is an integer number (1255325721261).

Almost surely, 2^{10036072742753} is an apocalyptic number.

It is an amenable number.

10036072742753 is a deficient number, since it is larger than the sum of its proper divisors (6533027335).

10036072742753 is a wasteful number, since it uses less digits than its factorization.

10036072742753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194323.

The product of its (nonzero) digits is 1481760, while the sum is 47.

The spelling of 10036072742753 in words is "ten trillion, thirty-six billion, seventy-two million, seven hundred forty-two thousand, seven hundred fifty-three".