652517712 has 240 divisors, whose sum is σ = 2325148800. Its totient is φ = 169344000.

The previous prime is 652517707. The next prime is 652517713. The reversal of 652517712 is 217715256.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652517713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542712 + ... + 543912.

It is an arithmetic number, because the mean of its divisors is an integer number (9688120).

Almost surely, 2^652517712 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 652517712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162574400).

652517712 is an abundant number, since it is smaller than the sum of its proper divisors (1672631088).

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

652517712 is a wasteful number, since it uses less digits than its factorization.

652517712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1224 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 652517712 is about 25544.4262413545. The cubic root of 652517712 is about 867.3560954675.

The spelling of 652517712 in words is "six hundred fifty-two million, five hundred seventeen thousand, seven hundred twelve".