10075540820773 has 2 divisors, whose sum is σ = 10075540820774. Its totient is φ = 10075540820772.

The previous prime is 10075540820759. The next prime is 10075540820789. The reversal of 10075540820773 is 37702804557001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8008435886724 + 2067104934049 = 2829918^2 + 1437743^2 .

It is a cyclic number.

It is not a de Polignac number, because 10075540820773 - 2²⁹ = 10075003949861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10075540820473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5037770410386 + 5037770410387.

It is an arithmetic number, because the mean of its divisors is an integer number (5037770410387).

Almost surely, 2^{10075540820773} is an apocalyptic number.

It is an amenable number.

10075540820773 is a deficient number, since it is larger than the sum of its proper divisors (1).

10075540820773 is an equidigital number, since it uses as much as digits as its factorization.

10075540820773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1646400, while the sum is 49.

The spelling of 10075540820773 in words is "ten trillion, seventy-five billion, five hundred forty million, eight hundred twenty thousand, seven hundred seventy-three".