825202540512 has 192 divisors, whose sum is σ = 2817765619200. Its totient is φ = 230021544960.

The previous prime is 825202540507. The next prime is 825202540523. The reversal of 825202540512 is 215045202528.

825202540512 is a `hidden beast` number, since 82 + 5 + 2 + 0 + 25 + 40 + 512 = 666.

825202540512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415962 + ... + 1911897.

It is an arithmetic number, because the mean of its divisors is an integer number (14675862600).

Almost surely, 2^825202540512 is an apocalyptic number.

825202540512 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

825202540512 is an abundant number, since it is smaller than the sum of its proper divisors (1992563078688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825202540512 is a wasteful number, since it uses less digits than its factorization.

825202540512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327926 (or 3327912 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 825202540512 in words is "eight hundred twenty-five billion, two hundred two million, five hundred forty thousand, five hundred twelve".