652640105250 has 768 divisors, whose sum is σ = 2225424015360. Its totient is φ = 139885574400.

The previous prime is 652640105239. The next prime is 652640105279. The reversal of 652640105250 is 52501046256.

652640105250 is a `hidden beast` number, since 6 + 5 + 2 + 640 + 1 + 0 + 5 + 2 + 5 + 0 = 666.

652640105250 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 518379121 + ... + 518380379.

It is an arithmetic number, because the mean of its divisors is an integer number (2897687520).

Almost surely, 2^652640105250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652640105250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112712007680).

652640105250 is an abundant number, since it is smaller than the sum of its proper divisors (1572783910110).

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

652640105250 is a wasteful number, since it uses less digits than its factorization.

652640105250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 652640105250 in words is "six hundred fifty-two billion, six hundred forty million, one hundred five thousand, two hundred fifty".