806974525953 has 24 divisors (see below), whose sum is σ = 1181667101160. Its totient is φ = 530582088960.

The previous prime is 806974525921. The next prime is 806974526003. The reversal of 806974525953 is 359525479608.

806974525953 is a `hidden beast` number, since 8 + 0 + 6 + 97 + 452 + 5 + 95 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83782460304 + 723192065649 = 289452^2 + 850407^2 .

It is not a de Polignac number, because 806974525953 - 2⁵ = 806974525921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (806974520953) 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, 17756383 + ... + 17801771.

It is an arithmetic number, because the mean of its divisors is an integer number (49236129215).

Almost surely, 2^806974525953 is an apocalyptic number.

It is an amenable number.

806974525953 is a deficient number, since it is larger than the sum of its proper divisors (374692575207).

806974525953 is a wasteful number, since it uses less digits than its factorization.

806974525953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72529 (or 72526 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 806974525953 in words is "eight hundred six billion, nine hundred seventy-four million, five hundred twenty-five thousand, nine hundred fifty-three".