825260140358511 has 32 divisors (see below), whose sum is σ = 1337291570603520. Its totient is φ = 445763856854400.

The previous prime is 825260140358483. The next prime is 825260140358557. The reversal of 825260140358511 is 115853041062528.

It is not a de Polignac number, because 825260140358511 - 2⁹ = 825260140357999 is a prime.

It is a super-2 number, since 2×825260140358511² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825260140350511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33166941195 + ... + 33166966076.

It is an arithmetic number, because the mean of its divisors is an integer number (41790361581360).

Almost surely, 2^{825260140358511} is an apocalyptic number.

825260140358511 is a deficient number, since it is larger than the sum of its proper divisors (512031430245009).

825260140358511 is a wasteful number, since it uses less digits than its factorization.

825260140358511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66333907327.

The product of its (nonzero) digits is 2304000, while the sum is 51.

The spelling of 825260140358511 in words is "eight hundred twenty-five trillion, two hundred sixty billion, one hundred forty million, three hundred fifty-eight thousand, five hundred eleven".