10500800753 has 2 divisors, whose sum is σ = 10500800754. Its totient is φ = 10500800752.

The previous prime is 10500800747. The next prime is 10500800831. The reversal of 10500800753 is 35700800501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10332112609 + 168688144 = 101647^2 + 12988^2 .

It is an emirp because it is prime and its reverse (35700800501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10500800753 - 2²⁶ = 10433691889 is a prime.

It is a super-3 number, since 3×10500800753³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10503800753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250400376 + 5250400377.

It is an arithmetic number, because the mean of its divisors is an integer number (5250400377).

Almost surely, 2^10500800753 is an apocalyptic number.

It is an amenable number.

10500800753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500800753 is an equidigital number, since it uses as much as digits as its factorization.

10500800753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 10500800753 in words is "ten billion, five hundred million, eight hundred thousand, seven hundred fifty-three".