825250503 has 48 divisors (see below), whose sum is σ = 1469888640. Its totient is φ = 406123200.

The previous prime is 825250493. The next prime is 825250507. The reversal of 825250503 is 305052528.

It is not a de Polignac number, because 825250503 - 2¹⁶ = 825184967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825250507) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17293 + ... + 44153.

It is an arithmetic number, because the mean of its divisors is an integer number (30622680).

Almost surely, 2^825250503 is an apocalyptic number.

825250503 is a deficient number, since it is larger than the sum of its proper divisors (644638137).

825250503 is a wasteful number, since it uses less digits than its factorization.

825250503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26908 (or 26901 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 825250503 is about 28727.1735992248. The cubic root of 825250503 is about 937.9836449216.

The spelling of 825250503 in words is "eight hundred twenty-five million, two hundred fifty thousand, five hundred three".