653253216 has 192 divisors, whose sum is σ = 2171473920. Its totient is φ = 167016960.

The previous prime is 653253197. The next prime is 653253239. The reversal of 653253216 is 612352356.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494605 + ... + 495923.

It is an arithmetic number, because the mean of its divisors is an integer number (11309760).

Almost surely, 2^653253216 is an apocalyptic number.

653253216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653253216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085736960).

653253216 is an abundant number, since it is smaller than the sum of its proper divisors (1518220704).

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

653253216 is a wasteful number, since it uses less digits than its factorization.

653253216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 653253216 is about 25558.8187520472. The cubic root of 653253216 is about 867.6818615087.

The spelling of 653253216 in words is "six hundred fifty-three million, two hundred fifty-three thousand, two hundred sixteen".