825268311 has 16 divisors (see below), whose sum is σ = 1397280000. Its totient is φ = 471581784.

The previous prime is 825268309. The next prime is 825268361. The reversal of 825268311 is 113862528.

It is a happy number.

825268311 is a `hidden beast` number, since 82 + 5 + 268 + 311 = 666.

It is not a de Polignac number, because 825268311 - 2¹ = 825268309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825268361) 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, 2183061 + ... + 2183438.

It is an arithmetic number, because the mean of its divisors is an integer number (87330000).

Almost surely, 2^825268311 is an apocalyptic number.

825268311 is a deficient number, since it is larger than the sum of its proper divisors (572011689).

825268311 is a wasteful number, since it uses less digits than its factorization.

825268311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366515 (or 4366509 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 825268311 is about 28727.4835479894. The cubic root of 825268311 is about 937.9903917589.

The spelling of 825268311 in words is "eight hundred twenty-five million, two hundred sixty-eight thousand, three hundred eleven".