825640274349 has 24 divisors (see below), whose sum is σ = 1301043650400. Its totient is φ = 500374686240.

The previous prime is 825640274297. The next prime is 825640274351. The reversal of 825640274349 is 943472046528.

It is a happy number.

825640274349 is a `hidden beast` number, since 8 + 2 + 564 + 0 + 2 + 74 + 3 + 4 + 9 = 666.

It is not a de Polignac number, because 825640274349 - 2¹⁵ = 825640241581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 825640274295 and 825640274304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825640274749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4630747 + ... + 4805735.

It is an arithmetic number, because the mean of its divisors is an integer number (54210152100).

Almost surely, 2^825640274349 is an apocalyptic number.

It is an amenable number.

825640274349 is a deficient number, since it is larger than the sum of its proper divisors (475403376051).

825640274349 is a wasteful number, since it uses less digits than its factorization.

825640274349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222665 (or 222662 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 825640274349 in words is "eight hundred twenty-five billion, six hundred forty million, two hundred seventy-four thousand, three hundred forty-nine".