652521256320 has 128 divisors (see below), whose sum is σ = 2081722479840. Its totient is φ = 173854162944.

The previous prime is 652521256319. The next prime is 652521256339. The reversal of 652521256320 is 23652125256.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×652521256320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2066382 + ... + 2361138.

Almost surely, 2^652521256320 is an apocalyptic number.

652521256320 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 652521256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040861239920).

652521256320 is an abundant number, since it is smaller than the sum of its proper divisors (1429201223520).

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

652521256320 is a wasteful number, since it uses less digits than its factorization.

652521256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295932 (or 295920 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 652521256320 in words is "six hundred fifty-two billion, five hundred twenty-one million, two hundred fifty-six thousand, three hundred twenty".