10583352265273 has 2 divisors, whose sum is σ = 10583352265274. Its totient is φ = 10583352265272.

The previous prime is 10583352265223. The next prime is 10583352265289. The reversal of 10583352265273 is 37256225338501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10501021718784 + 82330546489 = 3240528^2 + 286933^2 .

It is a cyclic number.

It is not a de Polignac number, because 10583352265273 - 2²¹ = 10583350168121 is a prime.

It is a super-2 number, since 2×10583352265273² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10583352265273.

It is not a weakly prime, because it can be changed into another prime (10583352265223) by changing a digit.

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 as a sum of consecutive naturals, namely, 5291676132636 + 5291676132637.

It is an arithmetic number, because the mean of its divisors is an integer number (5291676132637).

Almost surely, 2^{10583352265273} is an apocalyptic number.

It is an amenable number.

10583352265273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10583352265273 is an equidigital number, since it uses as much as digits as its factorization.

10583352265273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072000, while the sum is 52.

The spelling of 10583352265273 in words is "ten trillion, five hundred eighty-three billion, three hundred fifty-two million, two hundred sixty-five thousand, two hundred seventy-three".