825575601 has 16 divisors (see below), whose sum is σ = 1137784320. Its totient is φ = 531922560.

The previous prime is 825575599. The next prime is 825575609. The reversal of 825575601 is 106575528.

It is not a de Polignac number, because 825575601 - 2¹ = 825575599 is a prime.

It is a super-2 number, since 2×825575601² = 1363150145933022402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825575601.

It is not an unprimeable number, because it can be changed into a prime (825575609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69751 + ... + 80723.

It is an arithmetic number, because the mean of its divisors is an integer number (71111520).

Almost surely, 2^825575601 is an apocalyptic number.

It is an amenable number.

825575601 is a deficient number, since it is larger than the sum of its proper divisors (312208719).

825575601 is a wasteful number, since it uses less digits than its factorization.

825575601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816.

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 825575601 is about 28732.8314128629. The cubic root of 825575601 is about 938.1067980622.

The spelling of 825575601 in words is "eight hundred twenty-five million, five hundred seventy-five thousand, six hundred one".