825250560 has 144 divisors (see below), whose sum is σ = 2774607360. Its totient is φ = 208465920.

The previous prime is 825250549. The next prime is 825250571. The reversal of 825250560 is 65052528.

It is an interprime number because it is at equal distance from previous prime (825250549) and next prime (825250571).

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, 67305 + ... + 78615.

Almost surely, 2^825250560 is an apocalyptic number.

825250560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387303680).

825250560 is an abundant number, since it is smaller than the sum of its proper divisors (1949356800).

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

825250560 is a wasteful number, since it uses less digits than its factorization.

825250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11354 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 825250560 is about 28727.1745913168. The cubic root of 825250560 is about 937.9836665171.

The spelling of 825250560 in words is "eight hundred twenty-five million, two hundred fifty thousand, five hundred sixty".