825273243 has 24 divisors (see below), whose sum is σ = 1221462528. Its totient is φ = 536648112.

The previous prime is 825273221. The next prime is 825273269. The reversal of 825273243 is 342372528.

825273243 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825273243 - 2¹⁰ = 825272219 is a prime.

It is a super-2 number, since 2×825273243² = 1362151851223474098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825273198 and 825273207.

It is not an unprimeable number, because it can be changed into a prime (825273203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512746 + ... + 514352.

It is an arithmetic number, because the mean of its divisors is an integer number (50894272).

Almost surely, 2^825273243 is an apocalyptic number.

825273243 is a deficient number, since it is larger than the sum of its proper divisors (396189285).

825273243 is a wasteful number, since it uses less digits than its factorization.

825273243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2980 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 825273243 is about 28727.5693890033. The cubic root of 825273243 is about 937.9922603065.

The spelling of 825273243 in words is "eight hundred twenty-five million, two hundred seventy-three thousand, two hundred forty-three".