10606805772973 has 2 divisors, whose sum is σ = 10606805772974. Its totient is φ = 10606805772972.

The previous prime is 10606805772889. The next prime is 10606805773087. The reversal of 10606805772973 is 37927750860601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8049374728164 + 2557431044809 = 2837142^2 + 1599197^2 .

It is a cyclic number.

It is not a de Polignac number, because 10606805772973 - 2³⁷ = 10469366819501 is a prime.

It is a super-2 number, since 2×10606805772973² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10606805172973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5303402886486 + 5303402886487.

It is an arithmetic number, because the mean of its divisors is an integer number (5303402886487).

Almost surely, 2^{10606805772973} is an apocalyptic number.

It is an amenable number.

10606805772973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606805772973 is an equidigital number, since it uses as much as digits as its factorization.

10606805772973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26671680, while the sum is 61.

The spelling of 10606805772973 in words is "ten trillion, six hundred six billion, eight hundred five million, seven hundred seventy-two thousand, nine hundred seventy-three".