825004575 has 24 divisors (see below), whose sum is σ = 1515565200. Its totient is φ = 440002080.

The previous prime is 825004571. The next prime is 825004589. The reversal of 825004575 is 575400528.

It is a happy number.

825004575 is a `hidden beast` number, since 82 + 5 + 0 + 0 + 4 + 575 = 666.

It is not a de Polignac number, because 825004575 - 2² = 825004571 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825004571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610440 + ... + 611789.

It is an arithmetic number, because the mean of its divisors is an integer number (63148550).

Almost surely, 2^825004575 is an apocalyptic number.

825004575 is a deficient number, since it is larger than the sum of its proper divisors (690560625).

825004575 is a wasteful number, since it uses less digits than its factorization.

825004575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222248 (or 1222237 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 825004575 is about 28722.8928731073. The cubic root of 825004575 is about 937.8904613533.

The spelling of 825004575 in words is "eight hundred twenty-five million, four thousand, five hundred seventy-five".