10073007753005 has 8 divisors (see below), whose sum is σ = 12089522846232. Its totient is φ = 8057130507328.

The previous prime is 10073007752981. The next prime is 10073007753037. The reversal of 10073007753005 is 50035770037001.

It can be written as a sum of positive squares in 4 ways, for example, as 21451117444 + 10051556635561 = 146462^2 + 3170419^2 .

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 10073007753005 - 2²² = 10073003558701 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10073007753005.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 159427142 + ... + 159490311.

It is an arithmetic number, because the mean of its divisors is an integer number (1511190355779).

Almost surely, 2^{10073007753005} is an apocalyptic number.

It is an amenable number.

10073007753005 is a deficient number, since it is larger than the sum of its proper divisors (2016515093227).

10073007753005 is an equidigital number, since it uses as much as digits as its factorization.

10073007753005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318923775.

The product of its (nonzero) digits is 77175, while the sum is 38.

The spelling of 10073007753005 in words is "ten trillion, seventy-three billion, seven million, seven hundred fifty-three thousand, five".