652585248 has 288 divisors, whose sum is σ = 2318883840. Its totient is φ = 176359680.

The previous prime is 652585207. The next prime is 652585261. The reversal of 652585248 is 842585256.

It is a happy number.

652585248 is a `hidden beast` number, since 6 + 525 + 85 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1033893 + ... + 1034523.

It is an arithmetic number, because the mean of its divisors is an integer number (8051680).

Almost surely, 2^652585248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652585248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159441920).

652585248 is an abundant number, since it is smaller than the sum of its proper divisors (1666298592).

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

652585248 is a wasteful number, since it uses less digits than its factorization.

652585248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 662 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 652585248 is about 25545.7481393675. The cubic root of 652585248 is about 867.3860184052.

The spelling of 652585248 in words is "six hundred fifty-two million, five hundred eighty-five thousand, two hundred forty-eight".