825302016 has 264 divisors, whose sum is σ = 2973619584. Its totient is φ = 214179840.

The previous prime is 825302003. The next prime is 825302029. The reversal of 825302016 is 610203528.

It is an interprime number because it is at equal distance from previous prime (825302003) and next prime (825302029).

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×825302016² = 1362246835227328512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709051 + ... + 710213.

Almost surely, 2^825302016 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 825302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486809792).

825302016 is an abundant number, since it is smaller than the sum of its proper divisors (2148317568).

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

825302016 is a wasteful number, since it uses less digits than its factorization.

825302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 825302016 is about 28728.0701753529. The cubic root of 825302016 is about 938.0031611558.

The spelling of 825302016 in words is "eight hundred twenty-five million, three hundred two thousand, sixteen".