653825312 has 48 divisors (see below), whose sum is σ = 1474183872. Its totient is φ = 279624960.

The previous prime is 653825311. The next prime is 653825327. The reversal of 653825312 is 213528356.

It is a super-2 number, since 2×653825312² = 854975077223794688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (653825311) 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 7 ways as a sum of consecutive naturals, for example, 114362 + ... + 119942.

It is an arithmetic number, because the mean of its divisors is an integer number (30712164).

Almost surely, 2^653825312 is an apocalyptic number.

It is an amenable number.

653825312 is an abundant number, since it is smaller than the sum of its proper divisors (820358560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

653825312 is a wasteful number, since it uses less digits than its factorization.

653825312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6113 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 653825312 is about 25570.0080563147. The cubic root of 653825312 is about 867.9350826035.

The spelling of 653825312 in words is "six hundred fifty-three million, eight hundred twenty-five thousand, three hundred twelve".