825303503 has 16 divisors (see below), whose sum is σ = 891979776. Its totient is φ = 761671680.

The previous prime is 825303491. The next prime is 825303509. The reversal of 825303503 is 305303528.

It is not a de Polignac number, because 825303503 - 2²⁰ = 824254927 is a prime.

It is a super-3 number, since 3×825303503³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825303509) 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, 71375 + ... + 82127.

It is an arithmetic number, because the mean of its divisors is an integer number (55748736).

Almost surely, 2^825303503 is an apocalyptic number.

825303503 is a deficient number, since it is larger than the sum of its proper divisors (66676273).

825303503 is a wasteful number, since it uses less digits than its factorization.

825303503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894.

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 825303503 is about 28728.0960559519. The cubic root of 825303503 is about 938.0037245091.

The spelling of 825303503 in words is "eight hundred twenty-five million, three hundred three thousand, five hundred three".