10273903215849 has 243 divisors, whose sum is σ = 19111255045623. Its totient is φ = 5300580212928.

The previous prime is 10273903215827. The next prime is 10273903215871. The reversal of 10273903215849 is 94851230937201.

The square root of 10273903215849 is 3205293.

It is a perfect power (a square), and thus also a powerful number.

10273903215849 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 39 + 0 + 3 + 21 + 584 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (10273903215827) and next prime (10273903215871).

It can be written as a sum of positive squares in only one way, i.e., 1519808168025 + 8754095047824 = 1232805^2 + 2958732^2 .

It is not a de Polignac number, because 10273903215849 - 2⁵ = 10273903215817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10273903215795 and 10273903215804.

It is not an unprimeable number, because it can be changed into a prime (10273903215889) 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 in 242 ways as a sum of consecutive naturals, for example, 51627654252 + ... + 51627654450.

Almost surely, 2^{10273903215849} is an apocalyptic number.

10273903215849 is the 3205293-rd square number.

10273903215849 is the 1602647-th centered octagonal number.

It is an amenable number.

10273903215849 is a deficient number, since it is larger than the sum of its proper divisors (8837351829774).

10273903215849 is an equidigital number, since it uses as much as digits as its factorization.

10273903215849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10273903215849 in words is "ten trillion, two hundred seventy-three billion, nine hundred three million, two hundred fifteen thousand, eight hundred forty-nine".