825120801 has 12 divisors (see below), whose sum is σ = 1214329428. Its totient is φ = 539701344.

The previous prime is 825120799. The next prime is 825120853. The reversal of 825120801 is 108021528.

It can be written as a sum of positive squares in 2 ways, for example, as 384120801 + 441000000 = 19599^2 + 21000^2 .

It is not a de Polignac number, because 825120801 - 2¹ = 825120799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825120001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864430 + ... + 865383.

It is an arithmetic number, because the mean of its divisors is an integer number (101194119).

Almost surely, 2^825120801 is an apocalyptic number.

It is an amenable number.

825120801 is a deficient number, since it is larger than the sum of its proper divisors (389208627).

825120801 is a wasteful number, since it uses less digits than its factorization.

825120801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729872 (or 1729869 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 825120801 is about 28724.9160312089. The cubic root of 825120801 is about 937.9345023771.

The spelling of 825120801 in words is "eight hundred twenty-five million, one hundred twenty thousand, eight hundred one".