825055259193 has 48 divisors (see below), whose sum is σ = 1393277947776. Its totient is φ = 465366021120.

The previous prime is 825055259191. The next prime is 825055259201. The reversal of 825055259193 is 391952550528.

825055259193 is a `hidden beast` number, since 8 + 25 + 0 + 5 + 525 + 9 + 1 + 93 = 666.

It is not a de Polignac number, because 825055259193 - 2¹ = 825055259191 is a prime.

It is a super-2 number, since 2×825055259193² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825055259191) 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 47 ways as a sum of consecutive naturals, for example, 4812280 + ... + 4980777.

It is an arithmetic number, because the mean of its divisors is an integer number (29026623912).

Almost surely, 2^825055259193 is an apocalyptic number.

It is an amenable number.

825055259193 is a deficient number, since it is larger than the sum of its proper divisors (568222688583).

825055259193 is a wasteful number, since it uses less digits than its factorization.

825055259193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793134 (or 9793131 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 825055259193 in words is "eight hundred twenty-five billion, fifty-five million, two hundred fifty-nine thousand, one hundred ninety-three".