802527825 has 48 divisors (see below), whose sum is σ = 1451264256. Its totient is φ = 388084800.

The previous prime is 802527793. The next prime is 802527881. The reversal of 802527825 is 528725208.

It is a happy number.

It is not a de Polignac number, because 802527825 - 2⁵ = 802527793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384234 + ... + 386316.

It is an arithmetic number, because the mean of its divisors is an integer number (30234672).

Almost surely, 2^802527825 is an apocalyptic number.

It is an amenable number.

802527825 is a deficient number, since it is larger than the sum of its proper divisors (648736431).

802527825 is a wasteful number, since it uses less digits than its factorization.

802527825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 802527825 is about 28328.9220585606. The cubic root of 802527825 is about 929.2944990481.

The spelling of 802527825 in words is "eight hundred two million, five hundred twenty-seven thousand, eight hundred twenty-five".