825303504 has 20 divisors (see below), whose sum is σ = 2132034176. Its totient is φ = 275101152.

The previous prime is 825303491. The next prime is 825303509. The reversal of 825303504 is 405303528.

It is a super-2 number, since 2×825303504² = 1362251747429356032, which contains 22 as substring.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8596864 + ... + 8596959.

Almost surely, 2^825303504 is an apocalyptic number.

It is an amenable number.

825303504 is an abundant number, since it is smaller than the sum of its proper divisors (1306730672).

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

825303504 is a wasteful number, since it uses less digits than its factorization.

825303504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17193834 (or 17193828 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 825303504 is about 28728.0960733565. The cubic root of 825303504 is about 938.0037248880.

The spelling of 825303504 in words is "eight hundred twenty-five million, three hundred three thousand, five hundred four".