825072580 has 24 divisors (see below), whose sum is σ = 1761059160. Its totient is φ = 324618240.

The previous prime is 825072569. The next prime is 825072601. The reversal of 825072580 is 85270528.

825072580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108118404 + 716954176 = 10398^2 + 26776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336925 + ... + 339364.

It is an arithmetic number, because the mean of its divisors is an integer number (73377465).

Almost surely, 2^825072580 is an apocalyptic number.

It is an amenable number.

825072580 is an abundant number, since it is smaller than the sum of its proper divisors (935986580).

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

825072580 is a wasteful number, since it uses less digits than its factorization.

825072580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676359 (or 676357 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 825072580 is about 28724.0766605299. The cubic root of 825072580 is about 937.9162307007.

The spelling of 825072580 in words is "eight hundred twenty-five million, seventy-two thousand, five hundred eighty".