10406272273 has 16 divisors (see below), whose sum is σ = 10570724560. Its totient is φ = 10243584000.

The previous prime is 10406272193. The next prime is 10406272307. The reversal of 10406272273 is 37227260401.

It can be written as a sum of positive squares in 8 ways, for example, as 78021889 + 10328250384 = 8833^2 + 101628^2 .

It is a cyclic number.

It is not a de Polignac number, because 10406272273 - 2²¹ = 10404175121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10406272073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8664073 + ... + 8665273.

It is an arithmetic number, because the mean of its divisors is an integer number (660670285).

Almost surely, 2^10406272273 is an apocalyptic number.

It is an amenable number.

10406272273 is a deficient number, since it is larger than the sum of its proper divisors (164452287).

10406272273 is a wasteful number, since it uses less digits than its factorization.

10406272273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828.

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 10406272273 in words is "ten billion, four hundred six million, two hundred seventy-two thousand, two hundred seventy-three".