652352100 has 144 divisors (see below), whose sum is σ = 1968624000. Its totient is φ = 166584320.

The previous prime is 652352093. The next prime is 652352123. The reversal of 652352100 is 1253256.

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, 1452676 + ... + 1453124.

It is an arithmetic number, because the mean of its divisors is an integer number (13671000).

Almost surely, 2^652352100 is an apocalyptic number.

652352100 is a gapful number since it is divisible by the number (60) 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 652352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312000).

652352100 is an abundant number, since it is smaller than the sum of its proper divisors (1316271900).

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

652352100 is a wasteful number, since it uses less digits than its factorization.

652352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 652352100 is about 25541.1843891390. The cubic root of 652352100 is about 867.2827096016.

The spelling of 652352100 in words is "six hundred fifty-two million, three hundred fifty-two thousand, one hundred".