652510512 has 60 divisors (see below), whose sum is σ = 1874472040. Its totient is φ = 217326528.

The previous prime is 652510511. The next prime is 652510513. The reversal of 652510512 is 215015256.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

652510512 is a `hidden beast` number, since 652 + 5 + 1 + 0 + 5 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (652510511) and next prime (652510513).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (652510511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530314 + ... + 531542.

Almost surely, 2^652510512 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 652510512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937236020).

652510512 is an abundant number, since it is smaller than the sum of its proper divisors (1221961528).

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

652510512 is an equidigital number, since it uses as much as digits as its factorization.

652510512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 652510512 is about 25544.2853100258. The cubic root of 652510512 is about 867.3529052671.

Multiplying 652510512 by its sum of digits (27), we get a square (17617783824 = 132732²).

652510512 divided by its sum of digits (27) gives a square (24167056 = 4916²).

Adding to 652510512 its reverse (215015256), we get a palindrome (867525768).

The spelling of 652510512 in words is "six hundred fifty-two million, five hundred ten thousand, five hundred twelve".