825137280 has 320 divisors, whose sum is σ = 3216818880. Its totient is φ = 199895040.

The previous prime is 825137273. The next prime is 825137281. The reversal of 825137280 is 82731528.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (825137281) 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 39 ways as a sum of consecutive naturals, for example, 569517 + ... + 570963.

It is an arithmetic number, because the mean of its divisors is an integer number (10052559).

Almost surely, 2^825137280 is an apocalyptic number.

825137280 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 825137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608409440).

825137280 is an abundant number, since it is smaller than the sum of its proper divisors (2391681600).

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

825137280 is a wasteful number, since it uses less digits than its factorization.

825137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 825137280 is about 28725.2028713463. The cubic root of 825137280 is about 937.9407463597.

The spelling of 825137280 in words is "eight hundred twenty-five million, one hundred thirty-seven thousand, two hundred eighty".