825363000 has 512 divisors, whose sum is σ = 3576268800. Its totient is φ = 171072000.

The previous prime is 825362987. The next prime is 825363031. The reversal of 825363000 is 363528.

825363000 is a `hidden beast` number, since 8 + 25 + 3 + 630 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2078802 + ... + 2079198.

It is an arithmetic number, because the mean of its divisors is an integer number (6984900).

Almost surely, 2^825363000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788134400).

825363000 is an abundant number, since it is smaller than the sum of its proper divisors (2750905800).

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

825363000 is a wasteful number, since it uses less digits than its factorization.

825363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 825363000 is about 28729.1315566621. The cubic root of 825363000 is about 938.0262645267.

It can be divided in two parts, 8253 and 63000, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 825363000 in words is "eight hundred twenty-five million, three hundred sixty-three thousand".