825003603 has 16 divisors (see below), whose sum is σ = 1222824960. Its totient is φ = 549733608.

The previous prime is 825003563. The next prime is 825003607. The reversal of 825003603 is 306300528.

825003603 is a `hidden beast` number, since 8 + 2 + 50 + 0 + 3 + 603 = 666.

It is not a de Polignac number, because 825003603 - 2⁶ = 825003539 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (825003607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59826 + ... + 72312.

It is an arithmetic number, because the mean of its divisors is an integer number (76426560).

Almost surely, 2^825003603 is an apocalyptic number.

825003603 is a deficient number, since it is larger than the sum of its proper divisors (397821357).

825003603 is a wasteful number, since it uses less digits than its factorization.

825003603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14943 (or 14937 counting only the distinct ones).

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

The square root of 825003603 is about 28722.8759528011. The cubic root of 825003603 is about 937.8900930201.

The spelling of 825003603 in words is "eight hundred twenty-five million, three thousand, six hundred three".