653325827 has 48 divisors (see below), whose sum is σ = 877544640. Its totient is φ = 476087040.

The previous prime is 653325797. The next prime is 653325851. The reversal of 653325827 is 728523356.

653325827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 653325827 - 2⁶ = 653325763 is a prime.

Its product of digits (302400) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (653325227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4161233 + ... + 4161389.

It is an arithmetic number, because the mean of its divisors is an integer number (18282180).

Almost surely, 2^653325827 is an apocalyptic number.

653325827 is a deficient number, since it is larger than the sum of its proper divisors (224218813).

653325827 is a wasteful number, since it uses less digits than its factorization.

653325827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 192 counting only the distinct ones).

The product of its digits is 302400, while the sum is 41.

The square root of 653325827 is about 25560.2391811970. The cubic root of 653325827 is about 867.7140087740.

The spelling of 653325827 in words is "six hundred fifty-three million, three hundred twenty-five thousand, eight hundred twenty-seven".