652115520 has 252 divisors, whose sum is σ = 2609775324. Its totient is φ = 149022720.

The previous prime is 652115509. The next prime is 652115521. The reversal of 652115520 is 25511256.

652115520 is a `hidden beast` number, since 652 + 1 + 1 + 5 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 238887936 + 413227584 = 15456^2 + 20328^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (652115521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138810 + ... + 143430.

Almost surely, 2^652115520 is an apocalyptic number.

652115520 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 652115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304887662).

652115520 is an abundant number, since it is smaller than the sum of its proper divisors (1957659804).

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

652115520 is a wasteful number, since it uses less digits than its factorization.

652115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4638 counting only the distinct ones).

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

The square root of 652115520 is about 25536.5526255993. The cubic root of 652115520 is about 867.1778549012.

Adding to 652115520 its reverse (25511256), we get a palindrome (677626776).

The spelling of 652115520 in words is "six hundred fifty-two million, one hundred fifteen thousand, five hundred twenty".