825311904849 has 16 divisors (see below), whose sum is σ = 1245753820800. Its totient is φ = 539826653808.

The previous prime is 825311904821. The next prime is 825311904869. The reversal of 825311904849 is 948409113528.

It is a happy number.

It is not a de Polignac number, because 825311904849 - 2⁵ = 825311904817 is a prime.

It is a super-2 number, since 2×825311904849² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 825311904795 and 825311904804.

It is not an unprimeable number, because it can be changed into a prime (825311904869) 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, 288367509 + ... + 288370370.

It is an arithmetic number, because the mean of its divisors is an integer number (77859613800).

Almost surely, 2^825311904849 is an apocalyptic number.

It is an amenable number.

825311904849 is a deficient number, since it is larger than the sum of its proper divisors (420441915951).

825311904849 is a wasteful number, since it uses less digits than its factorization.

825311904849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576737941 (or 576737935 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 825311904849 in words is "eight hundred twenty-five billion, three hundred eleven million, nine hundred four thousand, eight hundred forty-nine".