825300842823 has 24 divisors (see below), whose sum is σ = 1242056664576. Its totient is φ = 527475949200.

The previous prime is 825300842813. The next prime is 825300842857. The reversal of 825300842823 is 328248003528.

It is a happy number.

It is not a de Polignac number, because 825300842823 - 2¹⁴ = 825300826439 is a prime.

It is a super-2 number, since 2×825300842823² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825300842803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13792893 + ... + 13852598.

It is an arithmetic number, because the mean of its divisors is an integer number (51752361024).

Almost surely, 2^825300842823 is an apocalyptic number.

825300842823 is a deficient number, since it is larger than the sum of its proper divisors (416755821753).

825300842823 is a wasteful number, since it uses less digits than its factorization.

825300842823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27645635 (or 27645632 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 825300842823 in words is "eight hundred twenty-five billion, three hundred million, eight hundred forty-two thousand, eight hundred twenty-three".