825257052 has 48 divisors (see below), whose sum is σ = 2146478880. Its totient is φ = 274195584.

The previous prime is 825257047. The next prime is 825257063. The reversal of 825257052 is 250752528.

825257052 is a `hidden beast` number, since 82 + 5 + 2 + 570 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 825256998 and 825257016.

It is a congruent number.

It is an unprimeable number.

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, 21598 + ... + 46010.

It is an arithmetic number, because the mean of its divisors is an integer number (44718310).

Almost surely, 2^825257052 is an apocalyptic number.

It is an amenable number.

825257052 is an abundant number, since it is smaller than the sum of its proper divisors (1321221828).

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

825257052 is a wasteful number, since it uses less digits than its factorization.

825257052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24739 (or 24731 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 825257052 is about 28727.2875851515. The cubic root of 825257052 is about 937.9861261232.

The spelling of 825257052 in words is "eight hundred twenty-five million, two hundred fifty-seven thousand, fifty-two".