825013296 has 80 divisors (see below), whose sum is σ = 2400625120. Its totient is φ = 271226880.

The previous prime is 825013283. The next prime is 825013313. The reversal of 825013296 is 692310528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 825013296.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18456 + ... + 44616.

It is an arithmetic number, because the mean of its divisors is an integer number (30007814).

Almost surely, 2^825013296 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 825013296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200312560).

825013296 is an abundant number, since it is smaller than the sum of its proper divisors (1575611824).

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

825013296 is a wasteful number, since it uses less digits than its factorization.

825013296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26251 (or 26239 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 825013296 is about 28723.0446854090. The cubic root of 825013296 is about 937.8937661083.

The spelling of 825013296 in words is "eight hundred twenty-five million, thirteen thousand, two hundred ninety-six".