825242219 has 16 divisors (see below), whose sum is σ = 891596160. Its totient is φ = 761256000.

The previous prime is 825242207. The next prime is 825242233. The reversal of 825242219 is 912242528.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 825242219 - 2²⁴ = 808465003 is a prime.

It is a super-2 number, since 2×825242219² = 1362049440040087922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825242239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755864 + ... + 756954.

It is an arithmetic number, because the mean of its divisors is an integer number (55724760).

Almost surely, 2^825242219 is an apocalyptic number.

825242219 is a deficient number, since it is larger than the sum of its proper divisors (66353941).

825242219 is a wasteful number, since it uses less digits than its factorization.

825242219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122.

The product of its digits is 23040, while the sum is 35.

The square root of 825242219 is about 28727.0294148212. The cubic root of 825242219 is about 937.9805063665.

The spelling of 825242219 in words is "eight hundred twenty-five million, two hundred forty-two thousand, two hundred nineteen".